480010272 has 72 divisors (see below), whose sum is σ = 1465760016. Its totient is φ = 137144448.

The previous prime is 480010261. The next prime is 480010273. The reversal of 480010272 is 272010084.

It is a super-2 number, since 2×480010272² = 460819722451027968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (480010273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46318 + ... + 55725.

It is an arithmetic number, because the mean of its divisors is an integer number (20357778).

Almost surely, 2^480010272 is an apocalyptic number.

480010272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

480010272 is an abundant number, since it is smaller than the sum of its proper divisors (985749744).

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

480010272 is a wasteful number, since it uses less digits than its factorization.

480010272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102070 (or 102055 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 480010272 is about 21909.1367242071. The cubic root of 480010272 is about 782.9791134051.

The spelling of 480010272 in words is "four hundred eighty million, ten thousand, two hundred seventy-two".