114409400 has 96 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 38640000.

The previous prime is 114409397. The next prime is 114409403. The reversal of 114409400 is 4904411.

It is an interprime number because it is at equal distance from previous prime (114409397) and next prime (114409403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114409403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98825 + ... + 99975.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^114409400 is an apocalyptic number.

114409400 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 114409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

114409400 is an abundant number, since it is smaller than the sum of its proper divisors (194142280).

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

114409400 is a wasteful number, since it uses less digits than its factorization.

114409400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 114409400 is about 10696.2329817558. The cubic root of 114409400 is about 485.4605042675.

The spelling of 114409400 in words is "one hundred fourteen million, four hundred nine thousand, four hundred".