399474561600 has 567 divisors, whose sum is σ = 1490752211403. Its totient is φ = 101450004480.

The previous prime is 399474561589. The next prime is 399474561653. The reversal of 399474561600 is 6165474993.

The square root of 399474561600 is 632040.

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

399474561600 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 74 + 561 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54520382016 + 344954179584 = 233496^2 + 587328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1744430286 + ... + 1744430514.

Almost surely, 2^399474561600 is an apocalyptic number.

399474561600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

399474561600 is the 632040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399474561600

399474561600 is an abundant number, since it is smaller than the sum of its proper divisors (1091277649803).

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

399474561600 is a wasteful number, since it uses less digits than its factorization.

399474561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 399474561600 in words is "three hundred ninety-nine billion, four hundred seventy-four million, five hundred sixty-one thousand, six hundred".