390290544 has 120 divisors (see below), whose sum is σ = 1267160960. Its totient is φ = 109828224.

The previous prime is 390290503. The next prime is 390290557. The reversal of 390290544 is 445092093.

390290544 is a `hidden beast` number, since 3 + 90 + 29 + 0 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 390290499 and 390290508.

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, 64647 + ... + 70425.

Almost surely, 2^390290544 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 390290544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633580480).

390290544 is an abundant number, since it is smaller than the sum of its proper divisors (876870416).

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

390290544 is a wasteful number, since it uses less digits than its factorization.

390290544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 390290544 is about 19755.7724222567. The cubic root of 390290544 is about 730.7957445222.

The spelling of 390290544 in words is "three hundred ninety million, two hundred ninety thousand, five hundred forty-four".