496813824 has 360 divisors, whose sum is σ = 1696642640. Its totient is φ = 143327232.

The previous prime is 496813799. The next prime is 496813859. The reversal of 496813824 is 428318694.

It is a happy number.

496813824 is a `hidden beast` number, since 496 + 8 + 138 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 496813824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5121744 + ... + 5121840.

Almost surely, 2^496813824 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 496813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848321320).

496813824 is an abundant number, since it is smaller than the sum of its proper divisors (1199828816).

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

496813824 is a wasteful number, since it uses less digits than its factorization.

496813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 496813824 is about 22289.3208510264. The cubic root of 496813824 is about 792.0110191304.

The spelling of 496813824 in words is "four hundred ninety-six million, eight hundred thirteen thousand, eight hundred twenty-four".