480312272 has 40 divisors (see below), whose sum is σ = 1018565760. Its totient is φ = 217601280.

The previous prime is 480312269. The next prime is 480312293. The reversal of 480312272 is 272213084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50729 + ... + 59447.

It is an arithmetic number, because the mean of its divisors is an integer number (25464144).

Almost surely, 2^480312272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509282880).

480312272 is an abundant number, since it is smaller than the sum of its proper divisors (538253488).

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

480312272 is a wasteful number, since it uses less digits than its factorization.

480312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9051 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 480312272 is about 21916.0277422712. The cubic root of 480312272 is about 783.1432835862.

The spelling of 480312272 in words is "four hundred eighty million, three hundred twelve thousand, two hundred seventy-two".