480252320 has 24 divisors (see below), whose sum is σ = 1134596484. Its totient is φ = 192100864.

The previous prime is 480252319. The next prime is 480252343. The reversal of 480252320 is 23252084.

It can be written as a sum of positive squares in 2 ways, for example, as 470542864 + 9709456 = 21692^2 + 3116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 480252320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1500629 + ... + 1500948.

Almost surely, 2^480252320 is an apocalyptic number.

480252320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480252320 is an abundant number, since it is smaller than the sum of its proper divisors (654344164).

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

480252320 is a wasteful number, since it uses less digits than its factorization.

480252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001592 (or 3001584 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 480252320 is about 21914.6599334783. The cubic root of 480252320 is about 783.1106985628.

The spelling of 480252320 in words is "four hundred eighty million, two hundred fifty-two thousand, three hundred twenty".