496978944 has 264 divisors, whose sum is σ = 1672710144. Its totient is φ = 128409600.

The previous prime is 496978943. The next prime is 496978961. The reversal of 496978944 is 449879694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

Its product of digits (15676416) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (496978943) 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 23 ways as a sum of consecutive naturals, for example, 2601889 + ... + 2602079.

Almost surely, 2^496978944 is an apocalyptic number.

496978944 is a gapful number since it is divisible by the number (44) 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 496978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836355072).

496978944 is an abundant number, since it is smaller than the sum of its proper divisors (1175731200).

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

496978944 is a wasteful number, since it uses less digits than its factorization.

496978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The square root of 496978944 is about 22293.0245592652. The cubic root of 496978944 is about 792.0987531182.

The spelling of 496978944 in words is "four hundred ninety-six million, nine hundred seventy-eight thousand, nine hundred forty-four".