114426000 has 320 divisors, whose sum is σ = 444138240. Its totient is φ = 27993600.

The previous prime is 114425981. The next prime is 114426001. The reversal of 114426000 is 624411.

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 (114426001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701919 + ... + 702081.

It is an arithmetic number, because the mean of its divisors is an integer number (1387932).

Almost surely, 2^114426000 is an apocalyptic number.

114426000 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 114426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222069120).

114426000 is an abundant number, since it is smaller than the sum of its proper divisors (329712240).

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

114426000 is a wasteful number, since it uses less digits than its factorization.

114426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114426000 is about 10697.0089277330. The cubic root of 114426000 is about 485.4839821013.

The spelling of 114426000 in words is "one hundred fourteen million, four hundred twenty-six thousand".