390444768 has 144 divisors (see below), whose sum is σ = 1275202656. Its totient is φ = 111006720.

The previous prime is 390444727. The next prime is 390444787. The reversal of 390444768 is 867444093.

It is a tau number, because it is divible by the number of its divisors (144).

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, 590358 + ... + 591018.

It is an arithmetic number, because the mean of its divisors is an integer number (8855574).

Almost surely, 2^390444768 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 390444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637601328).

390444768 is an abundant number, since it is smaller than the sum of its proper divisors (884757888).

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

390444768 is a wasteful number, since it uses less digits than its factorization.

390444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 390444768 is about 19759.6753009760. The cubic root of 390444768 is about 730.8919902572.

The spelling of 390444768 in words is "three hundred ninety million, four hundred forty-four thousand, seven hundred sixty-eight".