399574560 has 384 divisors, whose sum is σ = 1654732800. Its totient is φ = 78520320.

The previous prime is 399574547. The next prime is 399574573. The reversal of 399574560 is 65475993.

It is an interprime number because it is at equal distance from previous prime (399574547) and next prime (399574573).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 701956 + ... + 702524.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^399574560 is an apocalyptic number.

399574560 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 399574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

399574560 is an abundant number, since it is smaller than the sum of its proper divisors (1255158240).

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

399574560 is a wasteful number, since it uses less digits than its factorization.

399574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 399574560 is about 19989.3611703826. The cubic root of 399574560 is about 736.5449846678.

The spelling of 399574560 in words is "three hundred ninety-nine million, five hundred seventy-four thousand, five hundred sixty".