399579264 has 256 divisors, whose sum is σ = 1370880000. Its totient is φ = 112223232.

The previous prime is 399579259. The next prime is 399579281. The reversal of 399579264 is 462975993.

399579264 is a `hidden beast` number, since 3 + 9 + 9 + 579 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 399579264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2007837 + ... + 2008035.

It is an arithmetic number, because the mean of its divisors is an integer number (5355000).

Almost surely, 2^399579264 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 399579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440000).

399579264 is an abundant number, since it is smaller than the sum of its proper divisors (971300736).

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

399579264 is a wasteful number, since it uses less digits than its factorization.

399579264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 399579264 is about 19989.4788326259. The cubic root of 399579264 is about 736.5478749870.

The spelling of 399579264 in words is "three hundred ninety-nine million, five hundred seventy-nine thousand, two hundred sixty-four".