399407264928 has 864 divisors, whose sum is σ = 1443629573568. Its totient is φ = 108167270400.

The previous prime is 399407264897. The next prime is 399407264933. The reversal of 399407264928 is 829462704993.

399407264928 is a `hidden beast` number, since 39 + 9 + 40 + 72 + 6 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 578013063 + ... + 578013753.

It is an arithmetic number, because the mean of its divisors is an integer number (1670867562).

Almost surely, 2^399407264928 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 399407264928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721814786784).

399407264928 is an abundant number, since it is smaller than the sum of its proper divisors (1044222308640).

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

399407264928 is a wasteful number, since it uses less digits than its factorization.

399407264928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 399407264928 in words is "three hundred ninety-nine billion, four hundred seven million, two hundred sixty-four thousand, nine hundred twenty-eight".