456114 has 16 divisors (see below), whose sum is σ = 960480. Its totient is φ = 144000.

The previous prime is 456109. The next prime is 456119. The reversal of 456114 is 411654.

It is an interprime number because it is at equal distance from previous prime (456109) and next prime (456119).

It is not an unprimeable number, because it can be changed into a prime (456119) by changing a digit.

456114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1887 + ... + 2114.

It is an arithmetic number, because the mean of its divisors is an integer number (60030).

2⁴⁵⁶¹¹⁴ is an apocalyptic number.

456114 is an abundant number, since it is smaller than the sum of its proper divisors (504366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456114 is a wasteful number, since it uses less digits than its factorization.

456114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025.

The product of its digits is 480, while the sum is 21.

The square root of 456114 is about 675.3621250855. The cubic root of 456114 is about 76.9764362596.

Adding to 456114 its reverse (411654), we get a palindrome (867768).

It can be divided in two parts, 456 and 114, that multiplied together give a square (51984 = 228²).

The spelling of 456114 in words is "four hundred fifty-six thousand, one hundred fourteen".