496944672 has 144 divisors (see below), whose sum is σ = 1535798880. Its totient is φ = 140270592.

The previous prime is 496944671. The next prime is 496944703. The reversal of 496944672 is 276449694.

It is not an unprimeable number, because it can be changed into a prime (496944671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418063 + ... + 419249.

It is an arithmetic number, because the mean of its divisors is an integer number (10665270).

Almost surely, 2^496944672 is an apocalyptic number.

496944672 is a gapful number since it is divisible by the number (42) 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 496944672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767899440).

496944672 is an abundant number, since it is smaller than the sum of its proper divisors (1038854208).

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

496944672 is a wasteful number, since it uses less digits than its factorization.

496944672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1288 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 496944672 is about 22292.2558750791. The cubic root of 496944672 is about 792.0805448133.

The spelling of 496944672 in words is "four hundred ninety-six million, nine hundred forty-four thousand, six hundred seventy-two".