399559680 has 528 divisors, whose sum is σ = 1609433280. Its totient is φ = 90832896.

The previous prime is 399559679. The next prime is 399559697. The reversal of 399559680 is 86955993.

399559680 is a `hidden beast` number, since 3 + 9 + 9 + 559 + 6 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 13777906 + ... + 13777934.

Almost surely, 2^399559680 is an apocalyptic number.

399559680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

399559680 is an abundant number, since it is smaller than the sum of its proper divisors (1209873600).

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

399559680 is a wasteful number, since it uses less digits than its factorization.

399559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 399559680 is about 19988.9889689299. The cubic root of 399559680 is about 736.5358416721.

The spelling of 399559680 in words is "three hundred ninety-nine million, five hundred fifty-nine thousand, six hundred eighty".