495792144 has 80 divisors (see below), whose sum is σ = 1425950400. Its totient is φ = 164934144.

The previous prime is 495792139. The next prime is 495792169. The reversal of 495792144 is 441297594.

It is a self number, because there is not a number n which added to its sum of digits gives 495792144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318472 + ... + 320024.

It is an arithmetic number, because the mean of its divisors is an integer number (17824380).

Almost surely, 2^495792144 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 495792144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712975200).

495792144 is an abundant number, since it is smaller than the sum of its proper divisors (930158256).

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

495792144 is a wasteful number, since it uses less digits than its factorization.

495792144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2297 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 495792144 is about 22266.3904573687. The cubic root of 495792144 is about 791.4677323578.

The spelling of 495792144 in words is "four hundred ninety-five million, seven hundred ninety-two thousand, one hundred forty-four".