400460046264 has 24 divisors (see below), whose sum is σ = 1084579292160. Its totient is φ = 133486682064.

The previous prime is 400460046229. The next prime is 400460046281. The reversal of 400460046264 is 462640064004.

It is a happy number.

400460046264 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 600 + 46 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2780972472 + ... + 2780972615.

It is an arithmetic number, because the mean of its divisors is an integer number (45190803840).

Almost surely, 2^400460046264 is an apocalyptic number.

It is an amenable number.

400460046264 is an abundant number, since it is smaller than the sum of its proper divisors (684119245896).

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

400460046264 is a wasteful number, since it uses less digits than its factorization.

400460046264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561945099 (or 5561945092 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 400460046264 in words is "four hundred billion, four hundred sixty million, forty-six thousand, two hundred sixty-four".