399515013184 has 63 divisors (see below), whose sum is σ = 922304029023. Its totient is φ = 171205550208.

The previous prime is 399515013169. The next prime is 399515013223. The reversal of 399515013184 is 481310515993.

It is a happy number.

The square root of 399515013184 is 632072.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×399515013184² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35390389 + ... + 35401675.

Almost surely, 2^399515013184 is an apocalyptic number.

399515013184 is the 632072-nd square number.

It is an amenable number.

399515013184 is an abundant number, since it is smaller than the sum of its proper divisors (522789015839).

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

399515013184 is an frugal number, since it uses more digits than its factorization.

399515013184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

Multiplying 399515013184 by its sum of digits (49), we get a square (19576235646016 = 4424504²).

399515013184 divided by its sum of digits (49) gives a square (8153367616 = 90296²).

The spelling of 399515013184 in words is "three hundred ninety-nine billion, five hundred fifteen million, thirteen thousand, one hundred eighty-four".