488759292 has 96 divisors (see below), whose sum is σ = 1511193600. Its totient is φ = 133569216.

The previous prime is 488759291. The next prime is 488759303. The reversal of 488759292 is 292957884.

488759292 is a `hidden beast` number, since 48 + 8 + 7 + 592 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488759291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3334 + ... + 31442.

It is an arithmetic number, because the mean of its divisors is an integer number (15741600).

Almost surely, 2^488759292 is an apocalyptic number.

488759292 is a gapful number since it is divisible by the number (42) 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 488759292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755596800).

488759292 is an abundant number, since it is smaller than the sum of its proper divisors (1022434308).

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

488759292 is a wasteful number, since it uses less digits than its factorization.

488759292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28152 (or 28144 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 488759292 is about 22107.9011215448. The cubic root of 488759292 is about 787.7075516426.

The spelling of 488759292 in words is "four hundred eighty-eight million, seven hundred fifty-nine thousand, two hundred ninety-two".