114278400 has 270 divisors, whose sum is σ = 422563232. Its totient is φ = 29491200.

The previous prime is 114278399. The next prime is 114278443. The reversal of 114278400 is 4872411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686385 + ... + 3686415.

Almost surely, 2^114278400 is an apocalyptic number.

114278400 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 114278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211281616).

114278400 is an abundant number, since it is smaller than the sum of its proper divisors (308284832).

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

114278400 is an equidigital number, since it uses as much as digits as its factorization.

114278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114278400 is about 10690.1075766336. The cubic root of 114278400 is about 485.2751476623.

The spelling of 114278400 in words is "one hundred fourteen million, two hundred seventy-eight thousand, four hundred".