495268992 has 96 divisors (see below), whose sum is σ = 1478065680. Its totient is φ = 165079296.

The previous prime is 495268987. The next prime is 495268999. The reversal of 495268992 is 299862594.

It is a happy number.

495268992 is a `hidden beast` number, since 495 + 2 + 68 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (495268999) 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 11 ways as a sum of consecutive naturals, for example, 23143 + ... + 39065.

Almost surely, 2^495268992 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 495268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739032840).

495268992 is an abundant number, since it is smaller than the sum of its proper divisors (982796688).

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

495268992 is an equidigital number, since it uses as much as digits as its factorization.

495268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15928 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 495268992 is about 22254.6397858963. The cubic root of 495268992 is about 791.1892529901.

The spelling of 495268992 in words is "four hundred ninety-five million, two hundred sixty-eight thousand, nine hundred ninety-two".