114430600 has 48 divisors (see below), whose sum is σ = 266947200. Its totient is φ = 45618240.

The previous prime is 114430567. The next prime is 114430601. The reversal of 114430600 is 6034411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114430601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72621 + ... + 74179.

It is an arithmetic number, because the mean of its divisors is an integer number (5561400).

Almost surely, 2^114430600 is an apocalyptic number.

114430600 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 114430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133473600).

114430600 is an abundant number, since it is smaller than the sum of its proper divisors (152516600).

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

114430600 is a wasteful number, since it uses less digits than its factorization.

114430600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 114430600 is about 10697.2239389479. The cubic root of 114430600 is about 485.4904876053.

The spelling of 114430600 in words is "one hundred fourteen million, four hundred thirty thousand, six hundred".