480486400 has 99 divisors (see below), whose sum is σ = 1199781499. Its totient is φ = 190791680.

The previous prime is 480486397. The next prime is 480486437. The reversal of 480486400 is 4684084.

The square root of 480486400 is 21920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 479084544 = 1184^2 + 21888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3507132 + ... + 3507268.

Almost surely, 2^480486400 is an apocalyptic number.

480486400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

480486400 is the 21920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480486400

480486400 is an abundant number, since it is smaller than the sum of its proper divisors (719295099).

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

480486400 is an equidigital number, since it uses as much as digits as its factorization.

480486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The cubic root of 480486400 is about 783.2379100100.

It can be divided in two parts, 4804 and 86400, that added together give a square (91204 = 302²).

The spelling of 480486400 in words is "four hundred eighty million, four hundred eighty-six thousand, four hundred".