480595700 has 72 divisors (see below), whose sum is σ = 1127474712. Its totient is φ = 176762880.

The previous prime is 480595699. The next prime is 480595721. The reversal of 480595700 is 7595084.

It can be written as a sum of positive squares in 12 ways, for example, as 322992784 + 157602916 = 17972^2 + 12554^2 .

It is a super-3 number, since 3×480595700³ (a number of 27 digits) contains 333 as substring.

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, 437552 + ... + 438648.

It is an arithmetic number, because the mean of its divisors is an integer number (15659371).

Almost surely, 2^480595700 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 480595700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563737356).

480595700 is an abundant number, since it is smaller than the sum of its proper divisors (646879012).

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

480595700 is a wasteful number, since it uses less digits than its factorization.

480595700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 480595700 is about 21922.4930151660. The cubic root of 480595700 is about 783.2972952587.

The spelling of 480595700 in words is "four hundred eighty million, five hundred ninety-five thousand, seven hundred".