390493575360 has 504 divisors, whose sum is σ = 1644666631920. Its totient is φ = 84557426688.

The previous prime is 390493575347. The next prime is 390493575401. The reversal of 390493575360 is 63575394093.

390493575360 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 9 + 3 + 575 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 390493575297 and 390493575306.

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 71 ways as a sum of consecutive naturals, for example, 2608462 + ... + 2754098.

Almost surely, 2^390493575360 is an apocalyptic number.

390493575360 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 390493575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822333315960).

390493575360 is an abundant number, since it is smaller than the sum of its proper divisors (1254173056560).

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

390493575360 is a wasteful number, since it uses less digits than its factorization.

390493575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145693 (or 145673 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 390493575360 in words is "three hundred ninety billion, four hundred ninety-three million, five hundred seventy-five thousand, three hundred sixty".