496620600 has 384 divisors, whose sum is σ = 1889879040. Its totient is φ = 105431040.

The previous prime is 496620587. The next prime is 496620601. The reversal of 496620600 is 6026694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496620601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5119752 + ... + 5119848.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^496620600 is an apocalyptic number.

496620600 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 496620600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

496620600 is an abundant number, since it is smaller than the sum of its proper divisors (1393258440).

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

496620600 is a wasteful number, since it uses less digits than its factorization.

496620600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 496620600 is about 22284.9859771102. The cubic root of 496620600 is about 791.9083278244.

The spelling of 496620600 in words is "four hundred ninety-six million, six hundred twenty thousand, six hundred".