456345 has 12 divisors (see below), whose sum is σ = 791076. Its totient is φ = 243360.

The previous prime is 456329. The next prime is 456349. The reversal of 456345 is 543654.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 335241 = 348^2 + 579^2 .

It is not a de Polignac number, because 456345 - 2⁴ = 456329 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (456349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5026 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (65923).

2⁴⁵⁶³⁴⁵ is an apocalyptic number.

456345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456345 is a deficient number, since it is larger than the sum of its proper divisors (334731).

456345 is a wasteful number, since it uses less digits than its factorization.

456345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152 (or 10149 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 456345 is about 675.5331228001. The cubic root of 456345 is about 76.9894290318.

Adding to 456345 its reverse (543654), we get a palindrome (999999).

The spelling of 456345 in words is "four hundred fifty-six thousand, three hundred forty-five".