399517560 has 192 divisors, whose sum is σ = 1472234400. Its totient is φ = 93146112.

The previous prime is 399517501. The next prime is 399517577. The reversal of 399517560 is 65715993.

399517560 is a `hidden beast` number, since 39 + 9 + 51 + 7 + 560 = 666.

It is a super-2 number, since 2×399517560² = 319228561496707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86674 + ... + 91166.

Almost surely, 2^399517560 is an apocalyptic number.

399517560 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 399517560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736117200).

399517560 is an abundant number, since it is smaller than the sum of its proper divisors (1072716840).

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

399517560 is a wasteful number, since it uses less digits than its factorization.

399517560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 399517560 is about 19987.9353611122. The cubic root of 399517560 is about 736.5099598649.

The spelling of 399517560 in words is "three hundred ninety-nine million, five hundred seventeen thousand, five hundred sixty".