488371632 has 80 divisors (see below), whose sum is σ = 1471334400. Its totient is φ = 139530048.

The previous prime is 488371619. The next prime is 488371651. The reversal of 488371632 is 236173884.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633 + ... + 31295.

It is an arithmetic number, because the mean of its divisors is an integer number (18391680).

Almost surely, 2^488371632 is an apocalyptic number.

488371632 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 488371632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735667200).

488371632 is an abundant number, since it is smaller than the sum of its proper divisors (982962768).

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

488371632 is a wasteful number, since it uses less digits than its factorization.

488371632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29695 (or 29675 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 488371632 is about 22099.1319286528. The cubic root of 488371632 is about 787.4992395054.

The spelling of 488371632 in words is "four hundred eighty-eight million, three hundred seventy-one thousand, six hundred thirty-two".