496145727 has 96 divisors (see below), whose sum is σ = 960960000. Its totient is φ = 243855360.

The previous prime is 496145711. The next prime is 496145737. The reversal of 496145727 is 727541694.

496145727 is a `hidden beast` number, since 4 + 9 + 614 + 5 + 7 + 27 = 666.

It is not a de Polignac number, because 496145727 - 2⁴ = 496145711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496145737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 644799 + ... + 645567.

It is an arithmetic number, because the mean of its divisors is an integer number (10010000).

Almost surely, 2^496145727 is an apocalyptic number.

496145727 is a deficient number, since it is larger than the sum of its proper divisors (464814273).

496145727 is a wasteful number, since it uses less digits than its factorization.

496145727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 496145727 is about 22274.3288787788. The cubic root of 496145727 is about 791.6558374191.

The spelling of 496145727 in words is "four hundred ninety-six million, one hundred forty-five thousand, seven hundred twenty-seven".