456085 has 16 divisors (see below), whose sum is σ = 637056. Its totient is φ = 307008.

The previous prime is 456061. The next prime is 456091. The reversal of 456085 is 580654.

456085 = 83² + 84² + ... + 124².

It is a cyclic number.

It is not a de Polignac number, because 456085 - 2⁹ = 455573 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827 + ... + 2983.

It is an arithmetic number, because the mean of its divisors is an integer number (39816).

2⁴⁵⁶⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

456085 is a deficient number, since it is larger than the sum of its proper divisors (180971).

456085 is a wasteful number, since it uses less digits than its factorization.

456085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 456085 is about 675.3406547810. The cubic root of 456085 is about 76.9748048225.

The spelling of 456085 in words is "four hundred fifty-six thousand, eighty-five".