484225600 has 84 divisors (see below), whose sum is σ = 1201383424. Its totient is φ = 192084480.

The previous prime is 484225591. The next prime is 484225607. The reversal of 484225600 is 6522484.

It is not an unprimeable number, because it can be changed into a prime (484225607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202009 + ... + 204391.

Almost surely, 2^484225600 is an apocalyptic number.

484225600 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 484225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600691712).

484225600 is an abundant number, since it is smaller than the sum of its proper divisors (717157824).

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

484225600 is a wasteful number, since it uses less digits than its factorization.

484225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 484225600 is about 22005.1266753909. The cubic root of 484225600 is about 785.2644111787.

The spelling of 484225600 in words is "four hundred eighty-four million, two hundred twenty-five thousand, six hundred".