390018564 has 240 divisors, whose sum is σ = 1183902720. Its totient is φ = 111041280.

The previous prime is 390018553. The next prime is 390018581. The reversal of 390018564 is 465810093.

390018564 is a `hidden beast` number, since 3 + 90 + 0 + 1 + 8 + 564 = 666.

It is a super-2 number, since 2×390018564² = 304228960529244192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3786537 + ... + 3786639.

It is an arithmetic number, because the mean of its divisors is an integer number (4932928).

Almost surely, 2^390018564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390018564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591951360).

390018564 is an abundant number, since it is smaller than the sum of its proper divisors (793884156).

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

390018564 is a wasteful number, since it uses less digits than its factorization.

390018564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 390018564 is about 19748.8876648787. The cubic root of 390018564 is about 730.6259496368.

The spelling of 390018564 in words is "three hundred ninety million, eighteen thousand, five hundred sixty-four".