456705 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 228096.

The previous prime is 456697. The next prime is 456727. The reversal of 456705 is 507654.

It is not a de Polignac number, because 456705 - 2³ = 456697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196 + ... + 2394.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

It is a Proth number, since it is equal to 223 ⋅ 2¹¹ + 1 and 223 < 2¹¹.

2⁴⁵⁶⁷⁰⁵ is an apocalyptic number.

456705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456705 is a deficient number, since it is larger than the sum of its proper divisors (407295).

456705 is a wasteful number, since it uses less digits than its factorization.

456705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 456705 is about 675.7995264870. The cubic root of 456705 is about 77.0096687696.

The spelling of 456705 in words is "four hundred fifty-six thousand, seven hundred five".