484672204800 has 1248 divisors, whose sum is σ = 2067120076800. Its totient is φ = 109034864640.

The previous prime is 484672204787. The next prime is 484672204829. The reversal of 484672204800 is 8402276484.

484672204800 is a `hidden beast` number, since 4 + 84 + 6 + 72 + 20 + 480 + 0 = 666.

It is a super-2 number, since 2×484672204800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1528934242 + ... + 1528934558.

Almost surely, 2^484672204800 is an apocalyptic number.

484672204800 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 484672204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033560038400).

484672204800 is an abundant number, since it is smaller than the sum of its proper divisors (1582447872000).

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

484672204800 is a wasteful number, since it uses less digits than its factorization.

484672204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 484672204800 in words is "four hundred eighty-four billion, six hundred seventy-two million, two hundred four thousand, eight hundred".