456314 has 8 divisors (see below), whose sum is σ = 724788. Its totient is φ = 214720.

The previous prime is 456293. The next prime is 456329. The reversal of 456314 is 413654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 380689 + 75625 = 617^2 + 275^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 456314.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6677 + ... + 6744.

2⁴⁵⁶³¹⁴ is an apocalyptic number.

456314 is a deficient number, since it is larger than the sum of its proper divisors (268474).

456314 is a wasteful number, since it uses less digits than its factorization.

456314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440.

The product of its digits is 1440, while the sum is 23.

The square root of 456314 is about 675.5101775695. The cubic root of 456314 is about 76.9876856678.

Adding to 456314 its product of digits (1440), we get a palindrome (457754).

Adding to 456314 its reverse (413654), we get a palindrome (869968).

The spelling of 456314 in words is "four hundred fifty-six thousand, three hundred fourteen".