114435600 has 120 divisors (see below), whose sum is σ = 374559360. Its totient is φ = 29852160.

The previous prime is 114435589. The next prime is 114435611. The reversal of 114435600 is 6534411.

It is an interprime number because it is at equal distance from previous prime (114435589) and next prime (114435611).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55386 + ... + 57414.

It is an arithmetic number, because the mean of its divisors is an integer number (3121328).

Almost surely, 2^114435600 is an apocalyptic number.

114435600 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 114435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187279680).

114435600 is an abundant number, since it is smaller than the sum of its proper divisors (260123760).

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

114435600 is a wasteful number, since it uses less digits than its factorization.

114435600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 114435600 is about 10697.4576418886. The cubic root of 114435600 is about 485.4975586075.

The spelling of 114435600 in words is "one hundred fourteen million, four hundred thirty-five thousand, six hundred".