114202400 has 144 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 41333760.

The previous prime is 114202399. The next prime is 114202409. The reversal of 114202400 is 4202411.

It is not an unprimeable number, because it can be changed into a prime (114202409) 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 23 ways as a sum of consecutive naturals, for example, 821531 + ... + 821669.

It is an arithmetic number, because the mean of its divisors is an integer number (2126600).

Almost surely, 2^114202400 is an apocalyptic number.

114202400 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 114202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

114202400 is an abundant number, since it is smaller than the sum of its proper divisors (192028000).

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

114202400 is a wasteful number, since it uses less digits than its factorization.

114202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114202400 is about 10686.5522971630. The cubic root of 114202400 is about 485.1675475966.

Adding to 114202400 its reverse (4202411), we get a palindrome (118404811).

The spelling of 114202400 in words is "one hundred fourteen million, two hundred two thousand, four hundred".