390041568 has 360 divisors, whose sum is σ = 1386959112. Its totient is φ = 107122176.

The previous prime is 390041551. The next prime is 390041573. The reversal of 390041568 is 865140093.

390041568 is a `hidden beast` number, since 3 + 90 + 0 + 4 + 1 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4699255 + ... + 4699337.

Almost surely, 2^390041568 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 390041568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693479556).

390041568 is an abundant number, since it is smaller than the sum of its proper divisors (996917544).

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

390041568 is a wasteful number, since it uses less digits than its factorization.

390041568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

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

The square root of 390041568 is about 19749.4700688398. The cubic root of 390041568 is about 730.6403139009.

The spelling of 390041568 in words is "three hundred ninety million, forty-one thousand, five hundred sixty-eight".