496304144 has 120 divisors (see below), whose sum is σ = 1175549760. Its totient is φ = 202121472.

The previous prime is 496304131. The next prime is 496304147. The reversal of 496304144 is 441403694.

It is not an unprimeable number, because it can be changed into a prime (496304147) 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, 1886957 + ... + 1887219.

It is an arithmetic number, because the mean of its divisors is an integer number (9796248).

Almost surely, 2^496304144 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 496304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587774880).

496304144 is an abundant number, since it is smaller than the sum of its proper divisors (679245616).

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

496304144 is a wasteful number, since it uses less digits than its factorization.

496304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 496304144 is about 22277.8846392560. The cubic root of 496304144 is about 791.7400857831.

The spelling of 496304144 in words is "four hundred ninety-six million, three hundred four thousand, one hundred forty-four".