114046400 has 84 divisors (see below), whose sum is σ = 302267112. Its totient is φ = 42101760.

The previous prime is 114046349. The next prime is 114046403. The reversal of 114046400 is 4640411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114046403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18059 + ... + 23541.

It is an arithmetic number, because the mean of its divisors is an integer number (3598418).

Almost surely, 2^114046400 is an apocalyptic number.

114046400 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 114046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151133556).

114046400 is an abundant number, since it is smaller than the sum of its proper divisors (188220712).

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

114046400 is a wasteful number, since it uses less digits than its factorization.

114046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114046400 is about 10679.2509100592. The cubic root of 114046400 is about 484.9465346526.

Adding to 114046400 its reverse (4640411), we get a palindrome (118686811).

The spelling of 114046400 in words is "one hundred fourteen million, forty-six thousand, four hundred".