480057152 has 28 divisors (see below), whose sum is σ = 1008651780. Its totient is φ = 225908736.

The previous prime is 480057139. The next prime is 480057163. The reversal of 480057152 is 251750084.

It can be written as a sum of positive squares in 2 ways, for example, as 158357056 + 321700096 = 12584^2 + 17936^2 .

It is a super-2 number, since 2×480057152² = 460909738372702208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 219527 + ... + 221702.

Almost surely, 2^480057152 is an apocalyptic number.

It is an amenable number.

480057152 is an abundant number, since it is smaller than the sum of its proper divisors (528594628).

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

480057152 is a wasteful number, since it uses less digits than its factorization.

480057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441258 (or 441248 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 480057152 is about 21910.2065713676. The cubic root of 480057152 is about 783.0046023499.

The spelling of 480057152 in words is "four hundred eighty million, fifty-seven thousand, one hundred fifty-two".