496825344 has 264 divisors, whose sum is σ = 1553230848. Its totient is φ = 152616960.

The previous prime is 496825309. The next prime is 496825409. The reversal of 496825344 is 443528694.

Its product of digits (829440) is a multiple of the sum of its prime divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 496825344.

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 23 ways as a sum of consecutive naturals, for example, 10570729 + ... + 10570775.

Almost surely, 2^496825344 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 496825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776615424).

496825344 is an abundant number, since it is smaller than the sum of its proper divisors (1056405504).

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

496825344 is a wasteful number, since it uses less digits than its factorization.

496825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 496825344 is about 22289.5792692460. The cubic root of 496825344 is about 792.0171407371.

The spelling of 496825344 in words is "four hundred ninety-six million, eight hundred twenty-five thousand, three hundred forty-four".