496008576 has 384 divisors, whose sum is σ = 1779084000. Its totient is φ = 135475200.

The previous prime is 496008563. The next prime is 496008577. The reversal of 496008576 is 675800694.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496008577) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4910926 + ... + 4911026.

Almost surely, 2^496008576 is an apocalyptic number.

496008576 is the 11136-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889542000).

496008576 is an abundant number, since it is smaller than the sum of its proper divisors (1283075424).

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

496008576 is a wasteful number, since it uses less digits than its factorization.

496008576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 496008576 is about 22271.2499873716. The cubic root of 496008576 is about 791.5828841246.

The spelling of 496008576 in words is "four hundred ninety-six million, eight thousand, five hundred seventy-six".