495417680 has 40 divisors (see below), whose sum is σ = 1153245384. Its totient is φ = 197926400.

The previous prime is 495417667. The next prime is 495417731. The reversal of 495417680 is 86714594.

It can be written as a sum of positive squares in 4 ways, for example, as 29203216 + 466214464 = 5404^2 + 21592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71990 + ... + 78570.

Almost surely, 2^495417680 is an apocalyptic number.

495417680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495417680 is an abundant number, since it is smaller than the sum of its proper divisors (657827704).

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

495417680 is a wasteful number, since it uses less digits than its factorization.

495417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 495417680 is about 22257.9801419626. The cubic root of 495417680 is about 791.2684211317.

The spelling of 495417680 in words is "four hundred ninety-five million, four hundred seventeen thousand, six hundred eighty".