400956 has 12 divisors (see below), whose sum is σ = 935592. Its totient is φ = 133648.

The previous prime is 400949. The next prime is 400963. The reversal of 400956 is 659004.

It is an interprime number because it is at equal distance from previous prime (400949) and next prime (400963).

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16695 + ... + 16718.

It is an arithmetic number, because the mean of its divisors is an integer number (77966).

2⁴⁰⁰⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

400956 is an abundant number, since it is smaller than the sum of its proper divisors (534636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400956 is a wasteful number, since it uses less digits than its factorization.

400956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33420 (or 33418 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 400956 is about 633.2108653521. The cubic root of 400956 is about 73.7392821732.

The spelling of 400956 in words is "four hundred thousand, nine hundred fifty-six".