392560560 has 240 divisors, whose sum is σ = 1573336800. Its totient is φ = 89703936.

The previous prime is 392560543. The next prime is 392560601. The reversal of 392560560 is 65065293.

392560560 is a `hidden beast` number, since 3 + 92 + 5 + 6 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103986 + ... + 107694.

It is an arithmetic number, because the mean of its divisors is an integer number (6555570).

Almost surely, 2^392560560 is an apocalyptic number.

392560560 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 392560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786668400).

392560560 is an abundant number, since it is smaller than the sum of its proper divisors (1180776240).

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

392560560 is a wasteful number, since it uses less digits than its factorization.

392560560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 392560560 is about 19813.1410937287. The cubic root of 392560560 is about 732.2098296606.

The spelling of 392560560 in words is "three hundred ninety-two million, five hundred sixty thousand, five hundred sixty".