488157992 has 144 divisors (see below), whose sum is σ = 1175932800. Its totient is φ = 189181440.

The previous prime is 488157959. The next prime is 488158061. The reversal of 488157992 is 299751884.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

Its product of digits (1451520) is a multiple of the sum of its prime factors (224).

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 35 ways as a sum of consecutive naturals, for example, 3511859 + ... + 3511997.

It is an arithmetic number, because the mean of its divisors is an integer number (8166200).

Almost surely, 2^488157992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488157992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587966400).

488157992 is an abundant number, since it is smaller than the sum of its proper divisors (687774808).

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

488157992 is a wasteful number, since it uses less digits than its factorization.

488157992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 53.

The square root of 488157992 is about 22094.2977258839. The cubic root of 488157992 is about 787.3843912594.

The spelling of 488157992 in words is "four hundred eighty-eight million, one hundred fifty-seven thousand, nine hundred ninety-two".