488332800 has 360 divisors, whose sum is σ = 1823878056. Its totient is φ = 129392640.

The previous prime is 488332781. The next prime is 488332829. The reversal of 488332800 is 8233884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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, 3110322 + ... + 3110478.

Almost surely, 2^488332800 is an apocalyptic number.

488332800 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 488332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911939028).

488332800 is an abundant number, since it is smaller than the sum of its proper divisors (1335545256).

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

488332800 is an equidigital number, since it uses as much as digits as its factorization.

488332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 488332800 is about 22098.2533246408. The cubic root of 488332800 is about 787.4783667527.

The spelling of 488332800 in words is "four hundred eighty-eight million, three hundred thirty-two thousand, eight hundred".