496740600 has 168 divisors, whose sum is σ = 1732098960. Its totient is φ = 132425280.

The previous prime is 496740599. The next prime is 496740619. The reversal of 496740600 is 6047694.

496740600 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 40 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 41 ways as a sum of consecutive naturals, for example, 144097 + ... + 147503.

Almost surely, 2^496740600 is an apocalyptic number.

496740600 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 496740600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866049480).

496740600 is an abundant number, since it is smaller than the sum of its proper divisors (1235358360).

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

496740600 is a wasteful number, since it uses less digits than its factorization.

496740600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 496740600 is about 22287.6782101681. The cubic root of 496740600 is about 791.9721064556.

The spelling of 496740600 in words is "four hundred ninety-six million, seven hundred forty thousand, six hundred".