390438144 has 180 divisors, whose sum is σ = 1226727040. Its totient is φ = 123171840.

The previous prime is 390438079. The next prime is 390438173. The reversal of 390438144 is 441834093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 390438099 and 390438108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393489 + ... + 394479.

Almost surely, 2^390438144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613363520).

390438144 is an abundant number, since it is smaller than the sum of its proper divisors (836288896).

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

390438144 is an equidigital number, since it uses as much as digits as its factorization.

390438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 390438144 is about 19759.5076861748. The cubic root of 390438144 is about 730.8878569744.

The spelling of 390438144 in words is "three hundred ninety million, four hundred thirty-eight thousand, one hundred forty-four".