488312832 has 156 divisors (see below), whose sum is σ = 1516448976. Its totient is φ = 139345920.

The previous prime is 488312831. The next prime is 488312873. The reversal of 488312832 is 238213884.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488312831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601707 + ... + 602517.

Almost surely, 2^488312832 is an apocalyptic number.

488312832 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 488312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758224488).

488312832 is an abundant number, since it is smaller than the sum of its proper divisors (1028136144).

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

488312832 is an equidigital number, since it uses as much as digits as its factorization.

488312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 823 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 488312832 is about 22097.8015196082. The cubic root of 488312832 is about 787.4676332376.

The spelling of 488312832 in words is "four hundred eighty-eight million, three hundred twelve thousand, eight hundred thirty-two".