401315688 has 64 divisors (see below), whose sum is σ = 1153224000. Its totient is φ = 129157056.

The previous prime is 401315687. The next prime is 401315711. The reversal of 401315688 is 886513104.

It is a super-2 number, since 2×401315688² = 322108562869826688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401315687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25770 + ... + 38297.

It is an arithmetic number, because the mean of its divisors is an integer number (18019125).

Almost surely, 2^401315688 is an apocalyptic number.

It is an amenable number.

401315688 is an abundant number, since it is smaller than the sum of its proper divisors (751908312).

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

401315688 is a wasteful number, since it uses less digits than its factorization.

401315688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64111 (or 64101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 401315688 is about 20032.8651969707. The cubic root of 401315688 is about 737.6132549617.

It can be divided in two parts, 4013 and 15688, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 401315688 in words is "four hundred one million, three hundred fifteen thousand, six hundred eighty-eight".