390559360 has 64 divisors (see below), whose sum is σ = 988630920. Its totient is φ = 147030016.

The previous prime is 390559349. The next prime is 390559361. The reversal of 390559360 is 63955093.

It can be written as a sum of positive squares in 4 ways, for example, as 371409984 + 19149376 = 19272^2 + 4376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×390559360² = 305073227367219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (390559361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7069 + ... + 28828.

Almost surely, 2^390559360 is an apocalyptic number.

It is an amenable number.

390559360 is an abundant number, since it is smaller than the sum of its proper divisors (598071560).

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

390559360 is a wasteful number, since it uses less digits than its factorization.

390559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35933 (or 35921 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 40.

The square root of 390559360 is about 19762.5747310415. The cubic root of 390559360 is about 730.9634866543.

The spelling of 390559360 in words is "three hundred ninety million, five hundred fifty-nine thousand, three hundred sixty".