114200400 has 120 divisors (see below), whose sum is σ = 372252960. Its totient is φ = 29918720.

The previous prime is 114200377. The next prime is 114200419. The reversal of 114200400 is 4002411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69994 + ... + 71606.

It is an arithmetic number, because the mean of its divisors is an integer number (3102108).

Almost surely, 2^114200400 is an apocalyptic number.

114200400 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 114200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186126480).

114200400 is an abundant number, since it is smaller than the sum of its proper divisors (258052560).

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

114200400 is a wasteful number, since it uses less digits than its factorization.

114200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 114200400 is about 10686.4587212041. The cubic root of 114200400 is about 485.1647153714.

Adding to 114200400 its reverse (4002411), we get a palindrome (118202811).

The spelling of 114200400 in words is "one hundred fourteen million, two hundred thousand, four hundred".