114309360 has 320 divisors, whose sum is σ = 456399360. Its totient is φ = 25989120.

The previous prime is 114309347. The next prime is 114309367. The reversal of 114309360 is 63903411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114309367) 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, 403779 + ... + 404061.

It is an arithmetic number, because the mean of its divisors is an integer number (1426248).

Almost surely, 2^114309360 is an apocalyptic number.

114309360 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 114309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228199680).

114309360 is an abundant number, since it is smaller than the sum of its proper divisors (342090000).

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

114309360 is a wasteful number, since it uses less digits than its factorization.

114309360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 114309360 is about 10691.5555463179. Note that the first 4 decimals coincide. The cubic root of 114309360 is about 485.3189668559.

The spelling of 114309360 in words is "one hundred fourteen million, three hundred nine thousand, three hundred sixty".