400164264 has 96 divisors (see below), whose sum is σ = 1116460800. Its totient is φ = 129404160.

The previous prime is 400164229. The next prime is 400164293. The reversal of 400164264 is 462461004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835177 + ... + 835655.

It is an arithmetic number, because the mean of its divisors is an integer number (11629800).

Almost surely, 2^400164264 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 400164264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558230400).

400164264 is an abundant number, since it is smaller than the sum of its proper divisors (716296536).

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

400164264 is a wasteful number, since it uses less digits than its factorization.

400164264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 400164264 is about 20004.1061784825. The cubic root of 400164264 is about 736.9071448833.

It can be divided in two parts, 4001 and 64264, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 400164264 in words is "four hundred million, one hundred sixty-four thousand, two hundred sixty-four".