488203632 has 320 divisors, whose sum is σ = 1749888000. Its totient is φ = 127153152.

The previous prime is 488203609. The next prime is 488203649. The reversal of 488203632 is 236302884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1666078 + ... + 1666370.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^488203632 is an apocalyptic number.

488203632 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 488203632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944000).

488203632 is an abundant number, since it is smaller than the sum of its proper divisors (1261684368).

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

488203632 is a wasteful number, since it uses less digits than its factorization.

488203632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 488203632 is about 22095.3305474256. The cubic root of 488203632 is about 787.4089291510.

The spelling of 488203632 in words is "four hundred eighty-eight million, two hundred three thousand, six hundred thirty-two".