495808128 has 320 divisors, whose sum is σ = 1632846600. Its totient is φ = 148635648.

The previous prime is 495808073. The next prime is 495808169. The reversal of 495808128 is 821808594.

It is a happy number.

495808128 is a `hidden beast` number, since 49 + 580 + 8 + 1 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 463454784 + 32353344 = 21528^2 + 5688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5111376 + ... + 5111472.

Almost surely, 2^495808128 is an apocalyptic number.

495808128 is a gapful number since it is divisible by the number (48) 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 495808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816423300).

495808128 is an abundant number, since it is smaller than the sum of its proper divisors (1137038472).

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

495808128 is a wasteful number, since it uses less digits than its factorization.

495808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 495808128 is about 22266.7493810839. The cubic root of 495808128 is about 791.4762377260.

The spelling of 495808128 in words is "four hundred ninety-five million, eight hundred eight thousand, one hundred twenty-eight".