488100640 has 72 divisors (see below), whose sum is σ = 1179047772. Its totient is φ = 190947840.

The previous prime is 488100577. The next prime is 488100659. The reversal of 488100640 is 46001884.

It can be written as a sum of positive squares in 2 ways, for example, as 483824016 + 4276624 = 21996^2 + 2068^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352750 + ... + 354130.

Almost surely, 2^488100640 is an apocalyptic number.

488100640 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 488100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589523886).

488100640 is an abundant number, since it is smaller than the sum of its proper divisors (690947132).

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

488100640 is a wasteful number, since it uses less digits than its factorization.

488100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 488100640 is about 22092.9997963156. Note that the first 3 decimals coincide. The cubic root of 488100640 is about 787.3535543589.

The spelling of 488100640 in words is "four hundred eighty-eight million, one hundred thousand, six hundred forty".