114349280 has 48 divisors (see below), whose sum is σ = 271996704. Its totient is φ = 45427200.

The previous prime is 114349253. The next prime is 114349289. The reversal of 114349280 is 82943411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114349289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21794 + ... + 26526.

It is an arithmetic number, because the mean of its divisors is an integer number (5666598).

Almost surely, 2^114349280 is an apocalyptic number.

114349280 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 114349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135998352).

114349280 is an abundant number, since it is smaller than the sum of its proper divisors (157647424).

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

114349280 is a wasteful number, since it uses less digits than its factorization.

114349280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 114349280 is about 10693.4222772693. The cubic root of 114349280 is about 485.3754558967.

The spelling of 114349280 in words is "one hundred fourteen million, three hundred forty-nine thousand, two hundred eighty".