456814 has 8 divisors (see below), whose sum is σ = 695088. Its totient is φ = 225120.

The previous prime is 456811. The next prime is 456821. The reversal of 456814 is 418654.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1467 + ... + 1750.

It is an arithmetic number, because the mean of its divisors is an integer number (86886).

2⁴⁵⁶⁸¹⁴ is an apocalyptic number.

456814 is a deficient number, since it is larger than the sum of its proper divisors (238274).

456814 is a wasteful number, since it uses less digits than its factorization.

456814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290.

The product of its digits is 3840, while the sum is 28.

The square root of 456814 is about 675.8801668935. The cubic root of 456814 is about 77.0157948146.

It can be divided in two parts, 45 and 6814, that added together give a cube (6859 = 19³).

The spelling of 456814 in words is "four hundred fifty-six thousand, eight hundred fourteen".