408956 has 12 divisors (see below), whose sum is σ = 753480. Its totient is φ = 193680.

The previous prime is 408953. The next prime is 408959. The reversal of 408956 is 659804.

It is an interprime number because it is at equal distance from previous prime (408953) and next prime (408959).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408956.

It is not an unprimeable number, because it can be changed into a prime (408953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2615 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (62790).

2⁴⁰⁸⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

408956 is a deficient number, since it is larger than the sum of its proper divisors (344524).

408956 is a wasteful number, since it uses less digits than its factorization.

408956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 408956 is about 639.4966770828. The cubic root of 408956 is about 74.2264792652.

The spelling of 408956 in words is "four hundred eight thousand, nine hundred fifty-six".