114050400 has 72 divisors (see below), whose sum is σ = 371241864. Its totient is φ = 30412800.

The previous prime is 114050389. The next prime is 114050413. The reversal of 114050400 is 4050411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114050400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21361 + ... + 26160.

It is an arithmetic number, because the mean of its divisors is an integer number (5156137).

Almost surely, 2^114050400 is an apocalyptic number.

114050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114050400 is an abundant number, since it is smaller than the sum of its proper divisors (257191464).

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

114050400 is a wasteful number, since it uses less digits than its factorization.

114050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47544 (or 47531 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 114050400 is about 10679.4381874704. The cubic root of 114050400 is about 484.9522041680.

The spelling of 114050400 in words is "one hundred fourteen million, fifty thousand, four hundred".