488985600 has 132 divisors (see below), whose sum is σ = 1616376704. Its totient is φ = 130375680.

The previous prime is 488985587. The next prime is 488985659. The reversal of 488985600 is 6589884.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 488985600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73617 + ... + 79983.

Almost surely, 2^488985600 is an apocalyptic number.

488985600 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 488985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808188352).

488985600 is an abundant number, since it is smaller than the sum of its proper divisors (1127391104).

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

488985600 is a wasteful number, since it uses less digits than its factorization.

488985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 488985600 is about 22113.0187898441. The cubic root of 488985600 is about 787.8291091024.

The spelling of 488985600 in words is "four hundred eighty-eight million, nine hundred eighty-five thousand, six hundred".