465828727 has 24 divisors (see below), whose sum is σ = 582226944. Its totient is φ = 364893984.

The previous prime is 465828497. The next prime is 465828731. The reversal of 465828727 is 727828564.

It is not a de Polignac number, because 465828727 - 2¹⁹ = 465304439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465828767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119938 + ... + 123760.

It is an arithmetic number, because the mean of its divisors is an integer number (24259456).

Almost surely, 2^465828727 is an apocalyptic number.

465828727 is a deficient number, since it is larger than the sum of its proper divisors (116398217).

465828727 is a wasteful number, since it uses less digits than its factorization.

465828727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3946 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 49.

The square root of 465828727 is about 21583.0657460890. The cubic root of 465828727 is about 775.1910604903.

The spelling of 465828727 in words is "four hundred sixty-five million, eight hundred twenty-eight thousand, seven hundred twenty-seven".