480048400 has 60 divisors (see below), whose sum is σ = 1242046372. Its totient is φ = 177246720.

The previous prime is 480048391. The next prime is 480048403. The reversal of 480048400 is 4840084.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7246864 + 472801536 = 2692^2 + 21744^2 .

It is not an unprimeable number, because it can be changed into a prime (480048403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40959 + ... + 51358.

Almost surely, 2^480048400 is an apocalyptic number.

480048400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480048400 is an abundant number, since it is smaller than the sum of its proper divisors (761997972).

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

480048400 is a wasteful number, since it uses less digits than its factorization.

480048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92348 (or 92337 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 480048400 is about 21910.0068461879. The cubic root of 480048400 is about 782.9998439595. Note that the first 3 decimals are identical.

Adding to 480048400 its reverse (4840084), we get a palindrome (484888484).

The spelling of 480048400 in words is "four hundred eighty million, forty-eight thousand, four hundred".