404331264 has 360 divisors, whose sum is σ = 1353356928. Its totient is φ = 119439360.

The previous prime is 404331199. The next prime is 404331269. The reversal of 404331264 is 462133404.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (404331269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10927854 + ... + 10927890.

Almost surely, 2^404331264 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 404331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676678464).

404331264 is an abundant number, since it is smaller than the sum of its proper divisors (949025664).

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

404331264 is a wasteful number, since it uses less digits than its factorization.

404331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 404331264 is about 20107.9900537075. The cubic root of 404331264 is about 739.4561770212.

Adding to 404331264 its reverse (462133404), we get a palindrome (866464668).

The spelling of 404331264 in words is "four hundred four million, three hundred thirty-one thousand, two hundred sixty-four".