390646080 has 504 divisors, whose sum is σ = 1580997600. Its totient is φ = 88197120.

The previous prime is 390646079. The next prime is 390646117. The reversal of 390646080 is 80646093.

390646080 is a `hidden beast` number, since 3 + 9 + 0 + 646 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6621091 + ... + 6621149.

It is an arithmetic number, because the mean of its divisors is an integer number (3136900).

Almost surely, 2^390646080 is an apocalyptic number.

390646080 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 390646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790498800).

390646080 is an abundant number, since it is smaller than the sum of its proper divisors (1190351520).

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

390646080 is a wasteful number, since it uses less digits than its factorization.

390646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

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

The square root of 390646080 is about 19764.7686553625. The cubic root of 390646080 is about 731.0175838194.

The spelling of 390646080 in words is "three hundred ninety million, six hundred forty-six thousand, eighty".