390593952 has 144 divisors (see below), whose sum is σ = 1275543360. Its totient is φ = 111062016.

The previous prime is 390593947. The next prime is 390594049. The reversal of 390593952 is 259395093.

390593952 is a `hidden beast` number, since 3 + 9 + 0 + 593 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 390593898 and 390593907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630699 + ... + 631317.

It is an arithmetic number, because the mean of its divisors is an integer number (8857940).

Almost surely, 2^390593952 is an apocalyptic number.

390593952 is a gapful number since it is divisible by the number (32) 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 390593952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637771680).

390593952 is an abundant number, since it is smaller than the sum of its proper divisors (884949408).

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

390593952 is a wasteful number, since it uses less digits than its factorization.

390593952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The square root of 390593952 is about 19763.4499012698. The cubic root of 390593952 is about 730.9850665942.

The spelling of 390593952 in words is "three hundred ninety million, five hundred ninety-three thousand, nine hundred fifty-two".