401356960 has 24 divisors (see below), whose sum is σ = 948206196. Its totient is φ = 160542720.

The previous prime is 401356939. The next prime is 401356973. The reversal of 401356960 is 69653104.

It can be written as a sum of positive squares in 2 ways, for example, as 347598736 + 53758224 = 18644^2 + 7332^2 .

It is a super-2 number, since 2×401356960² = 322174818680883200, which contains 22 as substring.

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, 1254081 + ... + 1254400.

Almost surely, 2^401356960 is an apocalyptic number.

401356960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401356960 is an abundant number, since it is smaller than the sum of its proper divisors (546849236).

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

401356960 is a wasteful number, since it uses less digits than its factorization.

401356960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508496 (or 2508488 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 401356960 is about 20033.8952777537. The cubic root of 401356960 is about 737.6385399029.

The spelling of 401356960 in words is "four hundred one million, three hundred fifty-six thousand, nine hundred sixty".