496009680 has 80 divisors (see below), whose sum is σ = 1628092224. Its totient is φ = 124487680.

The previous prime is 496009667. The next prime is 496009693. The reversal of 496009680 is 86900694.

It is an interprime number because it is at equal distance from previous prime (496009667) and next prime (496009693).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56706 + ... + 64865.

Almost surely, 2^496009680 is an apocalyptic number.

496009680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496009680 is an abundant number, since it is smaller than the sum of its proper divisors (1132082544).

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

496009680 is a wasteful number, since it uses less digits than its factorization.

496009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121604 (or 121598 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 496009680 is about 22271.2747726752. The cubic root of 496009680 is about 791.5834714175.

The spelling of 496009680 in words is "four hundred ninety-six million, nine thousand, six hundred eighty".