114431460 has 96 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 25605120.

The previous prime is 114431459. The next prime is 114431461. The reversal of 114431460 is 64134411.

It is an interprime number because it is at equal distance from previous prime (114431459) and next prime (114431461).

It is a self number, because there is not a number n which added to its sum of digits gives 114431460.

It is not an unprimeable number, because it can be changed into a prime (114431461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1912 + ... + 15248.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^114431460 is an apocalyptic number.

114431460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114431460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

114431460 is an abundant number, since it is smaller than the sum of its proper divisors (262020252).

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

114431460 is a wasteful number, since it uses less digits than its factorization.

114431460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114431460 is about 10697.2641362173. The cubic root of 114431460 is about 485.4917038324.

Adding to 114431460 its reverse (64134411), we get a palindrome (178565871).

The spelling of 114431460 in words is "one hundred fourteen million, four hundred thirty-one thousand, four hundred sixty".