480004281 has 27 divisors (see below), whose sum is σ = 710358831. Its totient is φ = 312334704.

The previous prime is 480004267. The next prime is 480004307. The reversal of 480004281 is 182400084.

The square root of 480004281 is 21909.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 334560681 + 145443600 = 18291^2 + 12060^2 .

It is a de Polignac number, because none of the positive numbers 2^k-480004281 is a prime.

It is a super-2 number, since 2×480004281² = 460808219556653922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480004211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4403655 + ... + 4403763.

Almost surely, 2^480004281 is an apocalyptic number.

480004281 is the 21909-th square number.

480004281 is the 10955-th centered octagonal number.

It is an amenable number.

480004281 is a deficient number, since it is larger than the sum of its proper divisors (230354550).

480004281 is an equidigital number, since it uses as much as digits as its factorization.

480004281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The cubic root of 480004281 is about 782.9758559419.

The spelling of 480004281 in words is "four hundred eighty million, four thousand, two hundred eighty-one".