495768960 has 384 divisors, whose sum is σ = 1864568160. Its totient is φ = 120913920.

The previous prime is 495768929. The next prime is 495768971. The reversal of 495768960 is 69867594.

495768960 is a `hidden beast` number, since 4 + 9 + 576 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 495768897 and 495768906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5973079 + ... + 5973161.

Almost surely, 2^495768960 is an apocalyptic number.

495768960 is a gapful number since it is divisible by the number (40) 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 495768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932284080).

495768960 is an abundant number, since it is smaller than the sum of its proper divisors (1368799200).

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

495768960 is a wasteful number, since it uses less digits than its factorization.

495768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 495768960 is about 22265.8698460222. The cubic root of 495768960 is about 791.4553954177.

The spelling of 495768960 in words is "four hundred ninety-five million, seven hundred sixty-eight thousand, nine hundred sixty".