400590864 has 60 divisors (see below), whose sum is σ = 1123190016. Its totient is φ = 133281216.

The previous prime is 400590863. The next prime is 400590871. The reversal of 400590864 is 468095004.

400590864 is a `hidden beast` number, since 4 + 0 + 0 + 590 + 8 + 64 = 666.

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 (400590863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85117 + ... + 89699.

Almost surely, 2^400590864 is an apocalyptic number.

It is an amenable number.

400590864 is an abundant number, since it is smaller than the sum of its proper divisors (722599152).

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

400590864 is a wasteful number, since it uses less digits than its factorization.

400590864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 400590864 is about 20014.7661490211. The cubic root of 400590864 is about 737.1689148377.

The spelling of 400590864 in words is "four hundred million, five hundred ninety thousand, eight hundred sixty-four".