114444400 has 90 divisors (see below), whose sum is σ = 319897680. Its totient is φ = 39231360.

The previous prime is 114444397. The next prime is 114444401. The reversal of 114444400 is 4444411.

It is a happy number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114444401) 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 17 ways as a sum of consecutive naturals, for example, 16681 + ... + 22519.

Almost surely, 2^114444400 is an apocalyptic number.

114444400 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 114444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159948840).

114444400 is an abundant number, since it is smaller than the sum of its proper divisors (205453280).

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

114444400 is a wasteful number, since it uses less digits than its factorization.

114444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 114444400 is about 10697.8689466641. The cubic root of 114444400 is about 485.5100030712.

Adding to 114444400 its reverse (4444411), we get a palindrome (118888811).

The spelling of 114444400 in words is "one hundred fourteen million, four hundred forty-four thousand, four hundred".