484880800 has 144 divisors (see below), whose sum is σ = 1269340632. Its totient is φ = 180224000.

The previous prime is 484880713. The next prime is 484880807. The reversal of 484880800 is 8088484.

It can be written as a sum of positive squares in 12 ways, for example, as 174979984 + 309900816 = 13228^2 + 17604^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484880807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1373424 + ... + 1373776.

Almost surely, 2^484880800 is an apocalyptic number.

484880800 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 484880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634670316).

484880800 is an abundant number, since it is smaller than the sum of its proper divisors (784459832).

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

484880800 is a wasteful number, since it uses less digits than its factorization.

484880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 484880800 is about 22020.0090826503. The cubic root of 484880800 is about 785.6184289199.

The spelling of 484880800 in words is "four hundred eighty-four million, eight hundred eighty thousand, eight hundred".