495514656 has 432 divisors, whose sum is σ = 1837816344. Its totient is φ = 125411328.

The previous prime is 495514631. The next prime is 495514681. The reversal of 495514656 is 656415594.

495514656 is a `hidden beast` number, since 4 + 9 + 551 + 46 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (495514631) and next prime (495514681).

It can be written as a sum of positive squares in 4 ways, for example, as 444535056 + 50979600 = 21084^2 + 7140^2 .

Its product of digits (648000) is a multiple of the sum of its prime divisors (135).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6787836 + ... + 6787908.

Almost surely, 2^495514656 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 495514656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918908172).

495514656 is an abundant number, since it is smaller than the sum of its proper divisors (1342301688).

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

495514656 is a wasteful number, since it uses less digits than its factorization.

495514656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 495514656 is about 22260.1584900018. The cubic root of 495514656 is about 791.3200469572.

The spelling of 495514656 in words is "four hundred ninety-five million, five hundred fourteen thousand, six hundred fifty-six".