114456 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 36000.

The previous prime is 114451. The next prime is 114467. The reversal of 114456 is 654411.

114456 is nontrivially palindromic in base 7.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹¹⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

114456 is an abundant number, since it is smaller than the sum of its proper divisors (187944).

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

114456 is a wasteful number, since it uses less digits than its factorization.

114456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

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

The square root of 114456 is about 338.3134641128. The cubic root of 114456 is about 48.5526406162.

Adding to 114456 its reverse (654411), we get a palindrome (768867).

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

The spelling of 114456 in words is "one hundred fourteen thousand, four hundred fifty-six".