114566400 has 540 divisors, whose sum is σ = 483023772. Its totient is φ = 26542080.

The previous prime is 114566399. The next prime is 114566461. The reversal of 114566400 is 4665411.

114566400 is a `hidden beast` number, since 1 + 14 + 5 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4064256 + 110502144 = 2016^2 + 10512^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6739192 + ... + 6739208.

Almost surely, 2^114566400 is an apocalyptic number.

114566400 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 114566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241511886).

114566400 is an abundant number, since it is smaller than the sum of its proper divisors (368457372).

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

114566400 is a wasteful number, since it uses less digits than its factorization.

114566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114566400 is about 10703.5694980693. The cubic root of 114566400 is about 485.6824629011.

The spelling of 114566400 in words is "one hundred fourteen million, five hundred sixty-six thousand, four hundred".