400292864 has 44 divisors (see below), whose sum is σ = 803291928. Its totient is φ = 199372800.

The previous prime is 400292857. The next prime is 400292869. The reversal of 400292864 is 468292004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400292869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338354 + ... + 339534.

Almost surely, 2^400292864 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 400292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401645964).

400292864 is an abundant number, since it is smaller than the sum of its proper divisors (402999064).

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

400292864 is a wasteful number, since it uses less digits than its factorization.

400292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 400292864 is about 20007.3202603447. The cubic root of 400292864 is about 736.9860758937.

The spelling of 400292864 in words is "four hundred million, two hundred ninety-two thousand, eight hundred sixty-four".