488980800 has 840 divisors, whose sum is σ = 2286609600. Its totient is φ = 101606400.

The previous prime is 488980799. The next prime is 488980823. The reversal of 488980800 is 8089884.

488980800 is a `hidden beast` number, since 488 + 98 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 44452795 + ... + 44452805.

Almost surely, 2^488980800 is an apocalyptic number.

488980800 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 488980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143304800).

488980800 is an abundant number, since it is smaller than the sum of its proper divisors (1797628800).

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

488980800 is a wasteful number, since it uses less digits than its factorization.

488980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 488980800 is about 22112.9102562281. The cubic root of 488980800 is about 787.8265312541.

The spelling of 488980800 in words is "four hundred eighty-eight million, nine hundred eighty thousand, eight hundred".