390144024 has 96 divisors (see below), whose sum is σ = 1133449200. Its totient is φ = 120856320.

The previous prime is 390144019. The next prime is 390144061. The reversal of 390144024 is 420441093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69814 + ... + 75194.

Almost surely, 2^390144024 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 390144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566724600).

390144024 is an abundant number, since it is smaller than the sum of its proper divisors (743305176).

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

390144024 is a wasteful number, since it uses less digits than its factorization.

390144024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 390144024 is about 19752.0637909055. The cubic root of 390144024 is about 730.7042830916.

The spelling of 390144024 in words is "three hundred ninety million, one hundred forty-four thousand, twenty-four".