488826800 has 240 divisors, whose sum is σ = 1494547200. Its totient is φ = 149222400.

The previous prime is 488826787. The next prime is 488826809. The reversal of 488826800 is 8628884.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (488826809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817066 + ... + 1817334.

It is an arithmetic number, because the mean of its divisors is an integer number (6227280).

Almost surely, 2^488826800 is an apocalyptic number.

488826800 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 488826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747273600).

488826800 is an abundant number, since it is smaller than the sum of its proper divisors (1005720400).

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

488826800 is a wasteful number, since it uses less digits than its factorization.

488826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 488826800 is about 22109.4278532937. The cubic root of 488826800 is about 787.7438163330.

The spelling of 488826800 in words is "four hundred eighty-eight million, eight hundred twenty-six thousand, eight hundred".