390332160 has 216 divisors, whose sum is σ = 1395348864. Its totient is φ = 100638720.

The previous prime is 390332153. The next prime is 390332167. The reversal of 390332160 is 61233093.

It is an interprime number because it is at equal distance from previous prime (390332153) and next prime (390332167).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390332167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356574 + ... + 357666.

Almost surely, 2^390332160 is an apocalyptic number.

390332160 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 390332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697674432).

390332160 is an abundant number, since it is smaller than the sum of its proper divisors (1005016704).

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

390332160 is a wasteful number, since it uses less digits than its factorization.

390332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 390332160 is about 19756.8256559600. The cubic root of 390332160 is about 730.8217180909.

It can be divided in two parts, 3903 and 32160, that added together give a palindrome (36063).

The spelling of 390332160 in words is "three hundred ninety million, three hundred thirty-two thousand, one hundred sixty".