484444800 has 576 divisors, whose sum is σ = 2071742400. Its totient is φ = 109486080.

The previous prime is 484444769. The next prime is 484444823. The reversal of 484444800 is 8444484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×484444800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5443156 + ... + 5443244.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^484444800 is an apocalyptic number.

484444800 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 484444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035871200).

484444800 is an abundant number, since it is smaller than the sum of its proper divisors (1587297600).

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

484444800 is an equidigital number, since it uses as much as digits as its factorization.

484444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 484444800 is about 22010.1067693912. The cubic root of 484444800 is about 785.3828848764.

The spelling of 484444800 in words is "four hundred eighty-four million, four hundred forty-four thousand, eight hundred".