114062400 has 189 divisors, whose sum is σ = 410010991. Its totient is φ = 30074880.

The previous prime is 114062387. The next prime is 114062407. The reversal of 114062400 is 4260411.

The square root of 114062400 is 10680.

It is a perfect power (a square), and thus also a powerful number.

114062400 is a `hidden beast` number, since 1 + 1 + 40 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23736384 + 90326016 = 4872^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114062407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1281556 + ... + 1281644.

Almost surely, 2^114062400 is an apocalyptic number.

114062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114062400 is the 10680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114062400

114062400 is an abundant number, since it is smaller than the sum of its proper divisors (295948591).

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

114062400 is an equidigital number, since it uses as much as digits as its factorization.

114062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 114062400 is about 484.9692119188.

The spelling of 114062400 in words is "one hundred fourteen million, sixty-two thousand, four hundred".