488127360 has 128 divisors (see below), whose sum is σ = 1778227200. Its totient is φ = 111568896.

The previous prime is 488127359. The next prime is 488127371. The reversal of 488127360 is 63721884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4720 + ... + 31599.

It is an arithmetic number, because the mean of its divisors is an integer number (13892400).

Almost surely, 2^488127360 is an apocalyptic number.

488127360 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 488127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889113600).

488127360 is an abundant number, since it is smaller than the sum of its proper divisors (1290099840).

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

488127360 is a wasteful number, since it uses less digits than its factorization.

488127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36348 (or 36336 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 488127360 is about 22093.6045044714. The cubic root of 488127360 is about 787.3679214118.

The spelling of 488127360 in words is "four hundred eighty-eight million, one hundred twenty-seven thousand, three hundred sixty".