410 has 8 divisors (see below), whose sum is σ = 756. Its totient is φ = 160.

The previous prime is 409. The next prime is 419. The reversal of 410 is 14.

410 is nontrivially palindromic in base 9, base 11 and base 12.

410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

410 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 361 + 49 = 19^2 + 7^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an alternating number because its digits alternate between even and odd.

410 is an undulating number in base 9, base 11 and base 12.

It is a Curzon number.

It is a plaindrome in base 7, base 13 and base 16.

It is a nialpdrome in base 8 and base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 394 and 403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 30.

410 is a deficient number, since it is larger than the sum of its proper divisors (346).

410 is a wasteful number, since it uses less digits than its factorization.

410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48.

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 410 is about 20.2484567313. The cubic root of 410 is about 7.4289588414.

Adding to 410 its reverse (14), we get a palindrome (424).

The spelling of 410 in words is "four hundred ten", and thus it is an aban number and an iban number.

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