400264704 has 120 divisors (see below), whose sum is σ = 1320324720. Its totient is φ = 114352128.

The previous prime is 400264703. The next prime is 400264727. The reversal of 400264704 is 407462004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400264703) 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, 26052 + ... + 38460.

It is an arithmetic number, because the mean of its divisors is an integer number (11002706).

Almost surely, 2^400264704 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 400264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660162360).

400264704 is an abundant number, since it is smaller than the sum of its proper divisors (920060016).

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

400264704 is a wasteful number, since it uses less digits than its factorization.

400264704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12440 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 400264704 is about 20006.6165055464. The cubic root of 400264704 is about 736.9687935350.

The spelling of 400264704 in words is "four hundred million, two hundred sixty-four thousand, seven hundred four".