484881600 has 168 divisors, whose sum is σ = 1818201088. Its totient is φ = 110822400.

The previous prime is 484881589. The next prime is 484881629. The reversal of 484881600 is 6188484.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×484881600² = 470220332037120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26385 + ... + 40815.

Almost surely, 2^484881600 is an apocalyptic number.

484881600 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 484881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909100544).

484881600 is an abundant number, since it is smaller than the sum of its proper divisors (1333319488).

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

484881600 is a wasteful number, since it uses less digits than its factorization.

484881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14463 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 484881600 is about 22020.0272479395. The cubic root of 484881600 is about 785.6188609810.

The spelling of 484881600 in words is "four hundred eighty-four million, eight hundred eighty-one thousand, six hundred".