390535992 has 192 divisors, whose sum is σ = 1368057600. Its totient is φ = 101399040.

The previous prime is 390535987. The next prime is 390536017. The reversal of 390535992 is 299535093.

390535992 is a `hidden beast` number, since 3 + 9 + 0 + 53 + 599 + 2 = 666.

It is a super-2 number, since 2×390535992² = 305036722094848128, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148384 + ... + 150992.

It is an arithmetic number, because the mean of its divisors is an integer number (7125300).

Almost surely, 2^390535992 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 390535992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684028800).

390535992 is an abundant number, since it is smaller than the sum of its proper divisors (977521608).

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

390535992 is a wasteful number, since it uses less digits than its factorization.

390535992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The square root of 390535992 is about 19761.9835036871. The cubic root of 390535992 is about 730.9489079951.

The spelling of 390535992 in words is "three hundred ninety million, five hundred thirty-five thousand, nine hundred ninety-two".