496617760 has 24 divisors (see below), whose sum is σ = 1173259836. Its totient is φ = 198647040.

The previous prime is 496617749. The next prime is 496617769. The reversal of 496617760 is 67716694.

It can be written as a sum of positive squares in 2 ways, for example, as 485937936 + 10679824 = 22044^2 + 3268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 496617760.

It is not an unprimeable number, because it can be changed into a prime (496617769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1551771 + ... + 1552090.

Almost surely, 2^496617760 is an apocalyptic number.

496617760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496617760 is an abundant number, since it is smaller than the sum of its proper divisors (676642076).

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

496617760 is a wasteful number, since it uses less digits than its factorization.

496617760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103876 (or 3103868 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 496617760 is about 22284.9222569880. The cubic root of 496617760 is about 791.9068182724.

The spelling of 496617760 in words is "four hundred ninety-six million, six hundred seventeen thousand, seven hundred sixty".