488133240 has 128 divisors (see below), whose sum is σ = 1772098560. Its totient is φ = 105007104.

The previous prime is 488133229. The next prime is 488133281. The reversal of 488133240 is 42331884.

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 31 ways as a sum of consecutive naturals, for example, 2812 + ... + 31371.

It is an arithmetic number, because the mean of its divisors is an integer number (13844520).

Almost surely, 2^488133240 is an apocalyptic number.

488133240 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 488133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886049280).

488133240 is an abundant number, since it is smaller than the sum of its proper divisors (1283965320).

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

488133240 is a wasteful number, since it uses less digits than its factorization.

488133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34221 (or 34217 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 488133240 is about 22093.7375742539. The cubic root of 488133240 is about 787.3710829533.

The spelling of 488133240 in words is "four hundred eighty-eight million, one hundred thirty-three thousand, two hundred forty".