496686960 has 720 divisors, whose sum is σ = 2280425472. Its totient is φ = 94003200.

The previous prime is 496686947. The next prime is 496687003. The reversal of 496686960 is 69686694.

It is a happy number.

496686960 is a `hidden beast` number, since 496 + 68 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 496686897 and 496686906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16022145 + ... + 16022175.

Almost surely, 2^496686960 is an apocalyptic number.

496686960 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 496686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140212736).

496686960 is an abundant number, since it is smaller than the sum of its proper divisors (1783738512).

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

496686960 is a wasteful number, since it uses less digits than its factorization.

496686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 496686960 is about 22286.4748221876. The cubic root of 496686960 is about 791.9435986771.

The spelling of 496686960 in words is "four hundred ninety-six million, six hundred eighty-six thousand, nine hundred sixty".