390724992 has 256 divisors, whose sum is σ = 1363046400. Its totient is φ = 107827200.

The previous prime is 390724931. The next prime is 390724993. The reversal of 390724992 is 299427093.

390724992 is a `hidden beast` number, since 3 + 90 + 72 + 499 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390724993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749692 + ... + 750212.

It is an arithmetic number, because the mean of its divisors is an integer number (5324400).

Almost surely, 2^390724992 is an apocalyptic number.

390724992 is a gapful number since it is divisible by the number (32) 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 390724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681523200).

390724992 is an abundant number, since it is smaller than the sum of its proper divisors (972321408).

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

390724992 is a wasteful number, since it uses less digits than its factorization.

390724992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 390724992 is about 19766.7648339327. The cubic root of 390724992 is about 731.0668032866.

The spelling of 390724992 in words is "three hundred ninety million, seven hundred twenty-four thousand, nine hundred ninety-two".