488179692 has 576 divisors, whose sum is σ = 1878589440. Its totient is φ = 102643200.

The previous prime is 488179691. The next prime is 488179697. The reversal of 488179692 is 296971884.

488179692 is a `hidden beast` number, since 488 + 1 + 79 + 6 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (488179691) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15747717 + ... + 15747747.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2^488179692 is an apocalyptic number.

488179692 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 488179692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939294720).

488179692 is an abundant number, since it is smaller than the sum of its proper divisors (1390409748).

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

488179692 is a wasteful number, since it uses less digits than its factorization.

488179692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 488179692 is about 22094.7887973612. The cubic root of 488179692 is about 787.3960582391.

The spelling of 488179692 in words is "four hundred eighty-eight million, one hundred seventy-nine thousand, six hundred ninety-two".