488903680 has 176 divisors, whose sum is σ = 1281356496. Its totient is φ = 178257920.

The previous prime is 488903671. The next prime is 488903741. The reversal of 488903680 is 86309884.

It can be written as a sum of positive squares in 8 ways, for example, as 12616704 + 476286976 = 3552^2 + 21824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 488903680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3568572 + ... + 3568708.

Almost surely, 2^488903680 is an apocalyptic number.

488903680 is a gapful number since it is divisible by the number (40) 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 488903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640678248).

488903680 is an abundant number, since it is smaller than the sum of its proper divisors (792452816).

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

488903680 is a wasteful number, since it uses less digits than its factorization.

488903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 488903680 is about 22111.1664097578. The cubic root of 488903680 is about 787.7851115116.

The spelling of 488903680 in words is "four hundred eighty-eight million, nine hundred three thousand, six hundred eighty".