401356956 has 96 divisors (see below), whose sum is σ = 1257435648. Its totient is φ = 96226560.

The previous prime is 401356939. The next prime is 401356973. The reversal of 401356956 is 659653104.

It is an interprime number because it is at equal distance from previous prime (401356939) and next prime (401356973).

It is a super-2 number, since 2×401356956² = 322174812259171872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4695 + ... + 28718.

It is an arithmetic number, because the mean of its divisors is an integer number (13098288).

Almost surely, 2^401356956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401356956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628717824).

401356956 is an abundant number, since it is smaller than the sum of its proper divisors (856078692).

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

401356956 is a wasteful number, since it uses less digits than its factorization.

401356956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33451 (or 33449 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 401356956 is about 20033.8951779228. The cubic root of 401356956 is about 737.6385374524.

The spelling of 401356956 in words is "four hundred one million, three hundred fifty-six thousand, nine hundred fifty-six".