390008520 has 320 divisors, whose sum is σ = 1480343040. Its totient is φ = 91238400.

The previous prime is 390008477. The next prime is 390008533. The reversal of 390008520 is 25800093.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1104664 + ... + 1105016.

It is an arithmetic number, because the mean of its divisors is an integer number (4626072).

Almost surely, 2^390008520 is an apocalyptic number.

390008520 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 390008520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740171520).

390008520 is an abundant number, since it is smaller than the sum of its proper divisors (1090334520).

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

390008520 is a wasteful number, since it uses less digits than its factorization.

390008520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 390008520 is about 19748.6333704386. The cubic root of 390008520 is about 730.6196777388.

The spelling of 390008520 in words is "three hundred ninety million, eight thousand, five hundred twenty".