488084800 has 84 divisors (see below), whose sum is σ = 1372595680. Its totient is φ = 167339520.

The previous prime is 488084759. The next prime is 488084809. The reversal of 488084800 is 8480884.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488084809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10590 + ... + 32989.

Almost surely, 2^488084800 is an apocalyptic number.

488084800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488084800 is an abundant number, since it is smaller than the sum of its proper divisors (884510880).

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

488084800 is a wasteful number, since it uses less digits than its factorization.

488084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43608 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 488084800 is about 22092.6413088159. The cubic root of 488084800 is about 787.3450371160.

It can be divided in two parts, 488084 and 800, that added together give a palindrome (488884).

The spelling of 488084800 in words is "four hundred eighty-eight million, eighty-four thousand, eight hundred".