390415680 has 224 divisors, whose sum is σ = 1398422400. Its totient is φ = 102518784.

The previous prime is 390415673. The next prime is 390415681. The reversal of 390415680 is 86514093.

390415680 is a `hidden beast` number, since 3 + 90 + 4 + 1 + 568 + 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 not an unprimeable number, because it can be changed into a prime (390415681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 630411 + ... + 631029.

Almost surely, 2^390415680 is an apocalyptic number.

390415680 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 390415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699211200).

390415680 is an abundant number, since it is smaller than the sum of its proper divisors (1008006720).

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

390415680 is a wasteful number, since it uses less digits than its factorization.

390415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

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

The square root of 390415680 is about 19758.9392427833. The cubic root of 390415680 is about 730.8738394064.

The spelling of 390415680 in words is "three hundred ninety million, four hundred fifteen thousand, six hundred eighty".