480598731 has 32 divisors (see below), whose sum is σ = 746880000. Its totient is φ = 304850304.

The previous prime is 480598693. The next prime is 480598751. The reversal of 480598731 is 137895084.

It is not a de Polignac number, because 480598731 - 2¹⁵ = 480565963 is a prime.

It is a super-3 number, since 3×480598731³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480598751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121635 + ... + 125523.

It is an arithmetic number, because the mean of its divisors is an integer number (23340000).

Almost surely, 2^480598731 is an apocalyptic number.

480598731 is a deficient number, since it is larger than the sum of its proper divisors (266281269).

480598731 is a wasteful number, since it uses less digits than its factorization.

480598731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 480598731 is about 21922.5621449684. The cubic root of 480598731 is about 783.2989419437.

The spelling of 480598731 in words is "four hundred eighty million, five hundred ninety-eight thousand, seven hundred thirty-one".