495557568 has 336 divisors, whose sum is σ = 1699077120. Its totient is φ = 140313600.

The previous prime is 495557567. The next prime is 495557591. The reversal of 495557568 is 865755594.

495557568 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 575 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495557567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15985713 + ... + 15985743.

Almost surely, 2^495557568 is an apocalyptic number.

495557568 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 495557568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849538560).

495557568 is an abundant number, since it is smaller than the sum of its proper divisors (1203519552).

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

495557568 is a wasteful number, since it uses less digits than its factorization.

495557568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The square root of 495557568 is about 22261.1223436735. The cubic root of 495557568 is about 791.3428892992.

The spelling of 495557568 in words is "four hundred ninety-five million, five hundred fifty-seven thousand, five hundred sixty-eight".