484276800 has 504 divisors, whose sum is σ = 1938893760. Its totient is φ = 105369600.

The previous prime is 484276777. The next prime is 484276811. The reversal of 484276800 is 8672484.

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, 6820765 + ... + 6820835.

Almost surely, 2^484276800 is an apocalyptic number.

484276800 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 484276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969446880).

484276800 is an abundant number, since it is smaller than the sum of its proper divisors (1454616960).

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

484276800 is a wasteful number, since it uses less digits than its factorization.

484276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 484276800 is about 22006.2900099040. The cubic root of 484276800 is about 785.2920870670.

The spelling of 484276800 in words is "four hundred eighty-four million, two hundred seventy-six thousand, eight hundred".