390044160 has 560 divisors, whose sum is σ = 1610120160. Its totient is φ = 89579520.

The previous prime is 390044153. The next prime is 390044197. The reversal of 390044160 is 61440093.

It is a super-4 number, since 4×390044160⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20528631 + ... + 20528649.

Almost surely, 2^390044160 is an apocalyptic number.

390044160 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 390044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805060080).

390044160 is an abundant number, since it is smaller than the sum of its proper divisors (1220076000).

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

390044160 is an equidigital number, since it uses as much as digits as its factorization.

390044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 390044160 is about 19749.5356907447. The cubic root of 390044160 is about 730.6419323741.

The spelling of 390044160 in words is "three hundred ninety million, forty-four thousand, one hundred sixty".