496903680 has 640 divisors, whose sum is σ = 2199859200. Its totient is φ = 103514112.

The previous prime is 496903679. The next prime is 496903699. The reversal of 496903680 is 86309694.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×496903680³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289881 + ... + 6289959.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^496903680 is an apocalyptic number.

496903680 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 496903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

496903680 is an abundant number, since it is smaller than the sum of its proper divisors (1702955520).

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

496903680 is a wasteful number, since it uses less digits than its factorization.

496903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 496903680 is about 22291.3364336910. The cubic root of 496903680 is about 792.0587651529.

The spelling of 496903680 in words is "four hundred ninety-six million, nine hundred three thousand, six hundred eighty".