484368800 has 72 divisors (see below), whose sum is σ = 1220671872. Its totient is φ = 187488000.

The previous prime is 484368791. The next prime is 484368803. The reversal of 484368800 is 8863484.

It is a super-2 number, since 2×484368800² = 469226268826880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (484368803) 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, 15035 + ... + 34565.

It is an arithmetic number, because the mean of its divisors is an integer number (16953776).

Almost surely, 2^484368800 is an apocalyptic number.

484368800 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 484368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610335936).

484368800 is an abundant number, since it is smaller than the sum of its proper divisors (736303072).

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

484368800 is a wasteful number, since it uses less digits than its factorization.

484368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19582 (or 19569 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 484368800 is about 22008.3802220881. The cubic root of 484368800 is about 785.3418122775.

The spelling of 484368800 in words is "four hundred eighty-four million, three hundred sixty-eight thousand, eight hundred".