114054400 has 108 divisors (see below), whose sum is σ = 287419104. Its totient is φ = 44800000.

The previous prime is 114054341. The next prime is 114054427. The reversal of 114054400 is 4450411.

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, 454275 + ... + 454525.

It is an arithmetic number, because the mean of its divisors is an integer number (2661288).

Almost surely, 2^114054400 is an apocalyptic number.

114054400 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 114054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143709552).

114054400 is an abundant number, since it is smaller than the sum of its proper divisors (173364704).

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

114054400 is an equidigital number, since it uses as much as digits as its factorization.

114054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 114054400 is about 10679.6254615974. The cubic root of 114054400 is about 484.9578735508.

The spelling of 114054400 in words is "one hundred fourteen million, fifty-four thousand, four hundred".