114722400 has 144 divisors (see below), whose sum is σ = 402255504. Its totient is φ = 28231680.

The previous prime is 114722383. The next prime is 114722407. The reversal of 114722400 is 4227411.

It is a happy number.

It is a super-2 number, since 2×114722400² = 26322458123520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114722407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29362 + ... + 33038.

It is an arithmetic number, because the mean of its divisors is an integer number (2793441).

Almost surely, 2^114722400 is an apocalyptic number.

114722400 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 114722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201127752).

114722400 is an abundant number, since it is smaller than the sum of its proper divisors (287533104).

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

114722400 is a wasteful number, since it uses less digits than its factorization.

114722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 114722400 is about 10710.8543076638. The cubic root of 114722400 is about 485.9028070303.

Adding to 114722400 its reverse (4227411), we get a palindrome (118949811).

The spelling of 114722400 in words is "one hundred fourteen million, seven hundred twenty-two thousand, four hundred".