390368160 has 480 divisors, whose sum is σ = 1700721792. Its totient is φ = 82114560.

The previous prime is 390368123. The next prime is 390368177. The reversal of 390368160 is 61863093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179195 + ... + 1179525.

Almost surely, 2^390368160 is an apocalyptic number.

390368160 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 390368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850360896).

390368160 is an abundant number, since it is smaller than the sum of its proper divisors (1310353632).

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

390368160 is a wasteful number, since it uses less digits than its factorization.

390368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 390368160 is about 19757.7367124881. The cubic root of 390368160 is about 730.8441850868.

The spelling of 390368160 in words is "three hundred ninety million, three hundred sixty-eight thousand, one hundred sixty".