484515460 has 72 divisors (see below), whose sum is σ = 1204498008. Its totient is φ = 162624000.

The previous prime is 484515457. The next prime is 484515469. The reversal of 484515460 is 64515484.

It can be written as a sum of positive squares in 4 ways, for example, as 102860164 + 381655296 = 10142^2 + 19536^2 .

It is not an unprimeable number, because it can be changed into a prime (484515469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23760 + ... + 39160.

It is an arithmetic number, because the mean of its divisors is an integer number (16729139).

Almost surely, 2^484515460 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 484515460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602249004).

484515460 is an abundant number, since it is smaller than the sum of its proper divisors (719982548).

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

484515460 is a wasteful number, since it uses less digits than its factorization.

484515460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15445 (or 15432 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 484515460 is about 22011.7118825411. The cubic root of 484515460 is about 785.4210677315.

The spelling of 484515460 in words is "four hundred eighty-four million, five hundred fifteen thousand, four hundred sixty".