495340560 has 480 divisors, whose sum is σ = 2076617088. Its totient is φ = 103956480.

The previous prime is 495340523. The next prime is 495340589. The reversal of 495340560 is 65043594.

It is a happy number.

495340560 is a `hidden beast` number, since 4 + 9 + 53 + 40 + 560 = 666.

It is a super-2 number, since 2×495340560² = 490724540762227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1750179 + ... + 1750461.

Almost surely, 2^495340560 is an apocalyptic number.

495340560 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 495340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038308544).

495340560 is an abundant number, since it is smaller than the sum of its proper divisors (1581276528).

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

495340560 is a wasteful number, since it uses less digits than its factorization.

495340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 495340560 is about 22256.2476621734. The cubic root of 495340560 is about 791.2273609719.

The spelling of 495340560 in words is "four hundred ninety-five million, three hundred forty thousand, five hundred sixty".