496408500 has 480 divisors, whose sum is σ = 1978808832. Its totient is φ = 105753600.

The previous prime is 496408489. The next prime is 496408529. The reversal of 496408500 is 5804694.

496408500 is a `hidden beast` number, since 4 + 9 + 640 + 8 + 5 + 0 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 4819449 + ... + 4819551.

Almost surely, 2^496408500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496408500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989404416).

496408500 is an abundant number, since it is smaller than the sum of its proper divisors (1482400332).

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

496408500 is a wasteful number, since it uses less digits than its factorization.

496408500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 496408500 is about 22280.2266595293. The cubic root of 496408500 is about 791.7955739611.

The spelling of 496408500 in words is "four hundred ninety-six million, four hundred eight thousand, five hundred".