480528600 has 96 divisors (see below), whose sum is σ = 1492969920. Its totient is φ = 127854720.

The previous prime is 480528593. The next prime is 480528619. The reversal of 480528600 is 6825084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529347 + ... + 530253.

It is an arithmetic number, because the mean of its divisors is an integer number (15551770).

Almost surely, 2^480528600 is an apocalyptic number.

480528600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746484960).

480528600 is an abundant number, since it is smaller than the sum of its proper divisors (1012441320).

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

480528600 is a wasteful number, since it uses less digits than its factorization.

480528600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 480528600 is about 21920.9625701063. The cubic root of 480528600 is about 783.2608393251.

The spelling of 480528600 in words is "four hundred eighty million, five hundred twenty-eight thousand, six hundred".