496848000 has 256 divisors, whose sum is σ = 1798692480. Its totient is φ = 120320000.

The previous prime is 496847999. The next prime is 496848013. The reversal of 496848000 is 848694.

It is a self number, because there is not a number n which added to its sum of digits gives 496848000.

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 31 ways as a sum of consecutive naturals, for example, 527530 + ... + 528470.

Almost surely, 2^496848000 is an apocalyptic number.

496848000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899346240).

496848000 is an abundant number, since it is smaller than the sum of its proper divisors (1301844480).

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

496848000 is a wasteful number, since it uses less digits than its factorization.

496848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 496848000 is about 22290.0874830046. The cubic root of 496848000 is about 792.0291796208.

The spelling of 496848000 in words is "four hundred ninety-six million, eight hundred forty-eight thousand".