480122882281 has 45 divisors (see below), whose sum is σ = 570476703741. Its totient is φ = 404054639352.

The previous prime is 480122882257. The next prime is 480122882339. The reversal of 480122882281 is 182288221084.

The square root of 480122882281 is 692909.

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

It is not a de Polignac number, because 480122882281 - 2⁵ = 480122882249 is a prime.

It is a super-2 number, since 2×480122882281² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480122882251) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2682250650 + ... + 2682250828.

Almost surely, 2^480122882281 is an apocalyptic number.

480122882281 is the 692909-th square number.

480122882281 is the 346455-th centered octagonal number.

It is an amenable number.

480122882281 is a deficient number, since it is larger than the sum of its proper divisors (90353821460).

480122882281 is an frugal number, since it uses more digits than its factorization.

480122882281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 46.

The spelling of 480122882281 in words is "four hundred eighty billion, one hundred twenty-two million, eight hundred eighty-two thousand, two hundred eighty-one".