484036800 has 168 divisors, whose sum is σ = 1710421776. Its totient is φ = 119132160.

The previous prime is 484036783. The next prime is 484036811. The reversal of 484036800 is 8630484.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58522 + ... + 66278.

It is an arithmetic number, because the mean of its divisors is an integer number (10181082).

Almost surely, 2^484036800 is an apocalyptic number.

484036800 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 484036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855210888).

484036800 is an abundant number, since it is smaller than the sum of its proper divisors (1226384976).

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

484036800 is a wasteful number, since it uses less digits than its factorization.

484036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 484036800 is about 22000.8363477391. The cubic root of 484036800 is about 785.1623394765.

It can be divided in two parts, 48 and 4036800, that multiplied together give a square (193766400 = 13920²).

The spelling of 484036800 in words is "four hundred eighty-four million, thirty-six thousand, eight hundred".