495759872 has 80 divisors (see below), whose sum is σ = 1035971640. Its totient is φ = 236716032.

The previous prime is 495759841. The next prime is 495759877. The reversal of 495759872 is 278957594.

It can be written as a sum of positive squares in 4 ways, for example, as 458987776 + 36772096 = 21424^2 + 6064^2 .

It is not an unprimeable number, because it can be changed into a prime (495759877) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2568608 + ... + 2568800.

Almost surely, 2^495759872 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 495759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517985820).

495759872 is an abundant number, since it is smaller than the sum of its proper divisors (540211768).

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

495759872 is a wasteful number, since it uses less digits than its factorization.

495759872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 56.

The square root of 495759872 is about 22265.6657659276. The cubic root of 495759872 is about 791.4505593003.

The spelling of 495759872 in words is "four hundred ninety-five million, seven hundred fifty-nine thousand, eight hundred seventy-two".