390304320 has 168 divisors, whose sum is σ = 1422148032. Its totient is φ = 88842240.

The previous prime is 390304307. The next prime is 390304333. The reversal of 390304320 is 23403093.

It is an interprime number because it is at equal distance from previous prime (390304307) and next prime (390304333).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619400 + ... + 1619640.

Almost surely, 2^390304320 is an apocalyptic number.

390304320 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 390304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711074016).

390304320 is an abundant number, since it is smaller than the sum of its proper divisors (1031843712).

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

390304320 is an equidigital number, since it uses as much as digits as its factorization.

390304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 390304320 is about 19756.1210767701. The cubic root of 390304320 is about 730.8043426669.

The spelling of 390304320 in words is "three hundred ninety million, three hundred four thousand, three hundred twenty".