114317280 has 288 divisors, whose sum is σ = 486839808. Its totient is φ = 23731200.

The previous prime is 114317267. The next prime is 114317293. The reversal of 114317280 is 82713411.

It is an interprime number because it is at equal distance from previous prime (114317267) and next prime (114317293).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110365 + ... + 111395.

It is an arithmetic number, because the mean of its divisors is an integer number (1690416).

Almost surely, 2^114317280 is an apocalyptic number.

114317280 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 114317280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243419904).

114317280 is an abundant number, since it is smaller than the sum of its proper divisors (372522528).

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

114317280 is a wasteful number, since it uses less digits than its factorization.

114317280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114317280 is about 10691.9259256693. The cubic root of 114317280 is about 485.3301751462.

The spelling of 114317280 in words is "one hundred fourteen million, three hundred seventeen thousand, two hundred eighty".