496290816 has 264 divisors, whose sum is σ = 1681815200. Its totient is φ = 140894208.

The previous prime is 496290793. The next prime is 496290841. The reversal of 496290816 is 618092694.

It is a happy number.

496290816 is a `hidden beast` number, since 4 + 9 + 629 + 0 + 8 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161010 + ... + 3161166.

Almost surely, 2^496290816 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 496290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840907600).

496290816 is an abundant number, since it is smaller than the sum of its proper divisors (1185524384).

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

496290816 is a wasteful number, since it uses less digits than its factorization.

496290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 496290816 is about 22277.5855065130. The cubic root of 496290816 is about 791.7329984581.

The spelling of 496290816 in words is "four hundred ninety-six million, two hundred ninety thousand, eight hundred sixteen".