390855360 has 224 divisors, whose sum is σ = 1448409600. Its totient is φ = 89263104.

The previous prime is 390855343. The next prime is 390855373. The reversal of 390855360 is 63558093.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328687 + ... + 329873.

Almost surely, 2^390855360 is an apocalyptic number.

390855360 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 390855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724204800).

390855360 is an abundant number, since it is smaller than the sum of its proper divisors (1057554240).

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

390855360 is a wasteful number, since it uses less digits than its factorization.

390855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 390855360 is about 19770.0622153801. The cubic root of 390855360 is about 731.1481026838.

The spelling of 390855360 in words is "three hundred ninety million, eight hundred fifty-five thousand, three hundred sixty".