488088120 has 128 divisors (see below), whose sum is σ = 1603929600. Its totient is φ = 118086144.

The previous prime is 488088113. The next prime is 488088121. The reversal of 488088120 is 21880884.

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 Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488088121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89389 + ... + 94691.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^488088120 is an apocalyptic number.

488088120 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 488088120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

488088120 is an abundant number, since it is smaller than the sum of its proper divisors (1115841480).

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

488088120 is a wasteful number, since it uses less digits than its factorization.

488088120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 488088120 is about 22092.7164468293. The cubic root of 488088120 is about 787.3468223109.

The spelling of 488088120 in words is "four hundred eighty-eight million, eighty-eight thousand, one hundred twenty".