488025600 has 240 divisors, whose sum is σ = 1644001920. Its totient is φ = 127590400.

The previous prime is 488025599. The next prime is 488025611. The reversal of 488025600 is 6520884.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2726311 + ... + 2726489.

It is an arithmetic number, because the mean of its divisors is an integer number (6850008).

Almost surely, 2^488025600 is an apocalyptic number.

488025600 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 488025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822000960).

488025600 is an abundant number, since it is smaller than the sum of its proper divisors (1155976320).

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

488025600 is a wasteful number, since it uses less digits than its factorization.

488025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 488025600 is about 22091.3014555503. The cubic root of 488025600 is about 787.3132033644.

The spelling of 488025600 in words is "four hundred eighty-eight million, twenty-five thousand, six hundred".