484964800 has 84 divisors (see below), whose sum is σ = 1218895200. Its totient is φ = 189829120.

The previous prime is 484964783. The next prime is 484964813. The reversal of 484964800 is 8469484.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71976 + ... + 78424.

Almost surely, 2^484964800 is an apocalyptic number.

484964800 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 484964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609447600).

484964800 is an abundant number, since it is smaller than the sum of its proper divisors (733930400).

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

484964800 is a wasteful number, since it uses less digits than its factorization.

484964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 484964800 is about 22021.9163562121. The cubic root of 484964800 is about 785.6637927410.

The spelling of 484964800 in words is "four hundred eighty-four million, nine hundred sixty-four thousand, eight hundred".