114044400 has 180 divisors, whose sum is σ = 401774880. Its totient is φ = 29952000.

The previous prime is 114044387. The next prime is 114044401. The reversal of 114044400 is 4440411.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×114044400² = 26012250342720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114044401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284200 + ... + 284600.

Almost surely, 2^114044400 is an apocalyptic number.

114044400 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 114044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200887440).

114044400 is an abundant number, since it is smaller than the sum of its proper divisors (287730480).

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

114044400 is a wasteful number, since it uses less digits than its factorization.

114044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114044400 is about 10679.1572701220. The cubic root of 114044400 is about 484.9436998452.

Adding to 114044400 its reverse (4440411), we get a palindrome (118484811).

The spelling of 114044400 in words is "one hundred fourteen million, forty-four thousand, four hundred".