496950890436 has 576 divisors, whose sum is σ = 1750540087296. Its totient is φ = 114713625600.

The previous prime is 496950890431. The next prime is 496950890473. The reversal of 496950890436 is 634098059694.

496950890436 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 508 + 90 + 4 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (496950890431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110015650 + ... + 110020166.

It is an arithmetic number, because the mean of its divisors is an integer number (3039132096).

Almost surely, 2^496950890436 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 496950890436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875270043648).

496950890436 is an abundant number, since it is smaller than the sum of its proper divisors (1253589196860).

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

496950890436 is a wasteful number, since it uses less digits than its factorization.

496950890436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 496950890436 in words is "four hundred ninety-six billion, nine hundred fifty million, eight hundred ninety thousand, four hundred thirty-six".