456140085 has 16 divisors (see below), whose sum is σ = 730192320. Its totient is φ = 243152000.

The previous prime is 456140081. The next prime is 456140131. The reversal of 456140085 is 580041654.

It is not a de Polignac number, because 456140085 - 2² = 456140081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456140081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28585 + ... + 41585.

It is an arithmetic number, because the mean of its divisors is an integer number (45637020).

Almost surely, 2^456140085 is an apocalyptic number.

It is an amenable number.

456140085 is a deficient number, since it is larger than the sum of its proper divisors (274052235).

456140085 is a wasteful number, since it uses less digits than its factorization.

456140085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15348.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 456140085 is about 21357.4362927763. The cubic root of 456140085 is about 769.7790365016.

The spelling of 456140085 in words is "four hundred fifty-six million, one hundred forty thousand, eighty-five".