403931664 has 120 divisors (see below), whose sum is σ = 1193361120. Its totient is φ = 130813056.

The previous prime is 403931663. The next prime is 403931683. The reversal of 403931664 is 466139304.

403931664 is a `hidden beast` number, since 403 + 93 + 166 + 4 = 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 (403931663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591067 + ... + 591749.

It is an arithmetic number, because the mean of its divisors is an integer number (9944676).

Almost surely, 2^403931664 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 403931664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596680560).

403931664 is an abundant number, since it is smaller than the sum of its proper divisors (789429456).

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

403931664 is a wasteful number, since it uses less digits than its factorization.

403931664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 403931664 is about 20098.0512488151. The cubic root of 403931664 is about 739.2124955722.

The spelling of 403931664 in words is "four hundred three million, nine hundred thirty-one thousand, six hundred sixty-four".