114380400 has 60 divisors (see below), whose sum is σ = 366402392. Its totient is φ = 30501120.

The previous prime is 114380389. The next prime is 114380401. The reversal of 114380400 is 4083411.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114380401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46459 + ... + 48858.

Almost surely, 2^114380400 is an apocalyptic number.

114380400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114380400 is an abundant number, since it is smaller than the sum of its proper divisors (252021992).

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

114380400 is a wasteful number, since it uses less digits than its factorization.

114380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95338 (or 95327 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114380400 is about 10694.8772783983. The cubic root of 114380400 is about 485.4194833249.

The spelling of 114380400 in words is "one hundred fourteen million, three hundred eighty thousand, four hundred".