390980160 has 84 divisors (see below), whose sum is σ = 1344818748. Its totient is φ = 104260608.

The previous prime is 390980129. The next prime is 390980167. The reversal of 390980160 is 61089093.

It can be written as a sum of positive squares in 2 ways, for example, as 72999936 + 317980224 = 8544^2 + 17832^2 .

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

It is not an unprimeable number, because it can be changed into a prime (390980167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64999 + ... + 70758.

It is an arithmetic number, because the mean of its divisors is an integer number (16009747).

Almost surely, 2^390980160 is an apocalyptic number.

390980160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390980160 is an abundant number, since it is smaller than the sum of its proper divisors (953838588).

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

390980160 is a wasteful number, since it uses less digits than its factorization.

390980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135780 (or 135767 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 390980160 is about 19773.2182509575. The cubic root of 390980160 is about 731.2259128599.

The spelling of 390980160 in words is "three hundred ninety million, nine hundred eighty thousand, one hundred sixty".