390303360 has 160 divisors (see below), whose sum is σ = 1394028900. Its totient is φ = 104067072.

The previous prime is 390303317. The next prime is 390303379. The reversal of 390303360 is 63303093.

It can be written as a sum of positive squares in 2 ways, for example, as 380718144 + 9585216 = 19512^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48076 + ... + 55604.

Almost surely, 2^390303360 is an apocalyptic number.

390303360 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 390303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697014450).

390303360 is an abundant number, since it is smaller than the sum of its proper divisors (1003725540).

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

390303360 is an equidigital number, since it uses as much as digits as its factorization.

390303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 390303360 is about 19756.0967804878. The cubic root of 390303360 is about 730.8037434996.

It can be divided in two parts, 3903033 and 60, that added together give a palindrome (3903093).

The spelling of 390303360 in words is "three hundred ninety million, three hundred three thousand, three hundred sixty".