480744500 has 48 divisors (see below), whose sum is σ = 1059698640. Its totient is φ = 190512000.

The previous prime is 480744499. The next prime is 480744521. The reversal of 480744500 is 5447084.

It can be written as a sum of positive squares in 8 ways, for example, as 86007076 + 394737424 = 9274^2 + 19868^2 .

It is a super-3 number, since 3×480744500³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50090 + ... + 58910.

It is an arithmetic number, because the mean of its divisors is an integer number (22077055).

Almost surely, 2^480744500 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 480744500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529849320).

480744500 is an abundant number, since it is smaller than the sum of its proper divisors (578954140).

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

480744500 is a wasteful number, since it uses less digits than its factorization.

480744500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 480744500 is about 21925.8865271168. The cubic root of 480744500 is about 783.3781273112.

The spelling of 480744500 in words is "four hundred eighty million, seven hundred forty-four thousand, five hundred".