488338800 has 120 divisors (see below), whose sum is σ = 1583481984. Its totient is φ = 128628480.

The previous prime is 488338793. The next prime is 488338819. The reversal of 488338800 is 8833884.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97149 + ... + 102051.

Almost surely, 2^488338800 is an apocalyptic number.

488338800 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 488338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791740992).

488338800 is an abundant number, since it is smaller than the sum of its proper divisors (1095143184).

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

488338800 is a wasteful number, since it uses less digits than its factorization.

488338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 488338800 is about 22098.3890815598. The cubic root of 488338800 is about 787.4815919103.

The spelling of 488338800 in words is "four hundred eighty-eight million, three hundred thirty-eight thousand, eight hundred".