488816640 has 480 divisors, whose sum is σ = 1981748160. Its totient is φ = 113246208.

The previous prime is 488816639. The next prime is 488816651. The reversal of 488816640 is 46618884.

488816640 is a `hidden beast` number, since 488 + 8 + 166 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28753912 + ... + 28753928.

It is an arithmetic number, because the mean of its divisors is an integer number (4128642).

Almost surely, 2^488816640 is an apocalyptic number.

488816640 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 488816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990874080).

488816640 is an abundant number, since it is smaller than the sum of its proper divisors (1492931520).

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

488816640 is a wasteful number, since it uses less digits than its factorization.

488816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 488816640 is about 22109.1980858646. The cubic root of 488816640 is about 787.7383586859.

It can be divided in two parts, 4888 and 16640, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 488816640 in words is "four hundred eighty-eight million, eight hundred sixteen thousand, six hundred forty".