114414400 has 84 divisors (see below), whose sum is σ = 288251392. Its totient is φ = 44674560.

The previous prime is 114414383. The next prime is 114414413. The reversal of 114414400 is 4414411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67969 + ... + 69631.

Almost surely, 2^114414400 is an apocalyptic number.

114414400 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 114414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144125696).

114414400 is an abundant number, since it is smaller than the sum of its proper divisors (173836992).

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

114414400 is a wasteful number, since it uses less digits than its factorization.

114414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 114414400 is about 10696.4667063475. The cubic root of 114414400 is about 485.4675761432.

Adding to 114414400 its reverse (4414411), we get a palindrome (118828811).

The spelling of 114414400 in words is "one hundred fourteen million, four hundred fourteen thousand, four hundred".