390132864 has 192 divisors, whose sum is σ = 1297464480. Its totient is φ = 111206400.

The previous prime is 390132793. The next prime is 390132887. The reversal of 390132864 is 468231093.

It is a tau number, because it is divible by the number of its divisors (192).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214519 + ... + 216329.

Almost surely, 2^390132864 is an apocalyptic number.

390132864 is a gapful number since it is divisible by the number (34) 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 390132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648732240).

390132864 is an abundant number, since it is smaller than the sum of its proper divisors (907331616).

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

390132864 is a wasteful number, since it uses less digits than its factorization.

390132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 390132864 is about 19751.7812867599. The cubic root of 390132864 is about 730.6973158034.

The spelling of 390132864 in words is "three hundred ninety million, one hundred thirty-two thousand, eight hundred sixty-four".