390087360 has 448 divisors, whose sum is σ = 1556674560. Its totient is φ = 91238400.

The previous prime is 390087359. The next prime is 390087377. The reversal of 390087360 is 63780093.

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 63 ways as a sum of consecutive naturals, for example, 2583285 + ... + 2583435.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^390087360 is an apocalyptic number.

390087360 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 390087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778337280).

390087360 is an abundant number, since it is smaller than the sum of its proper divisors (1166587200).

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

390087360 is a wasteful number, since it uses less digits than its factorization.

390087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 390087360 is about 19750.6293570610. The cubic root of 390087360 is about 730.6689058722.

The spelling of 390087360 in words is "three hundred ninety million, eighty-seven thousand, three hundred sixty".