484120800 has 360 divisors, whose sum is σ = 1830007872. Its totient is φ = 124416000.

The previous prime is 484120787. The next prime is 484120807. The reversal of 484120800 is 8021484.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484120807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2008680 + ... + 2008920.

Almost surely, 2^484120800 is an apocalyptic number.

484120800 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 484120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915003936).

484120800 is an abundant number, since it is smaller than the sum of its proper divisors (1345887072).

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

484120800 is a wasteful number, since it uses less digits than its factorization.

484120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 484120800 is about 22002.7452832595. The cubic root of 484120800 is about 785.2077560108.

The spelling of 484120800 in words is "four hundred eighty-four million, one hundred twenty thousand, eight hundred".