390531960 has 432 divisors, whose sum is σ = 1610963640. Its totient is φ = 81768960.

The previous prime is 390531949. The next prime is 390531961. The reversal of 390531960 is 69135093.

390531960 is a `hidden beast` number, since 39 + 0 + 531 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390531961) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2981095 + ... + 2981225.

Almost surely, 2^390531960 is an apocalyptic number.

390531960 is a gapful number since it is divisible by the number (30) 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 390531960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805481820).

390531960 is an abundant number, since it is smaller than the sum of its proper divisors (1220431680).

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

390531960 is a wasteful number, since it uses less digits than its factorization.

390531960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 390531960 is about 19761.8814893724. The cubic root of 390531960 is about 730.9463924812.

The spelling of 390531960 in words is "three hundred ninety million, five hundred thirty-one thousand, nine hundred sixty".