114854400 has 180 divisors, whose sum is σ = 411444462. Its totient is φ = 30597120.

The previous prime is 114854359. The next prime is 114854483. The reversal of 114854400 is 4458411.

It is a happy number.

114854400 is a `hidden beast` number, since 114 + 8 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 102576384 + 12278016 = 10128^2 + 3504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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, 114702 + ... + 115698.

Almost surely, 2^114854400 is an apocalyptic number.

114854400 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 114854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205722231).

114854400 is an abundant number, since it is smaller than the sum of its proper divisors (296590062).

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

114854400 is an equidigital number, since it uses as much as digits as its factorization.

114854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114854400 is about 10717.0145096477. The cubic root of 114854400 is about 486.0890960975.

The spelling of 114854400 in words is "one hundred fourteen million, eight hundred fifty-four thousand, four hundred".