488620800 has 324 divisors, whose sum is σ = 1853397000. Its totient is φ = 122388480.

The previous prime is 488620787. The next prime is 488620801. The reversal of 488620800 is 8026884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (488620801) 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 35 ways as a sum of consecutive naturals, for example, 978951 + ... + 979449.

Almost surely, 2^488620800 is an apocalyptic number.

488620800 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 488620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926698500).

488620800 is an abundant number, since it is smaller than the sum of its proper divisors (1364776200).

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

488620800 is a wasteful number, since it uses less digits than its factorization.

488620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 488620800 is about 22104.7687162748. The cubic root of 488620800 is about 787.6331445323.

The spelling of 488620800 in words is "four hundred eighty-eight million, six hundred twenty thousand, eight hundred".