114209280 has 120 divisors (see below), whose sum is σ = 395618652. Its totient is φ = 30449664.

The previous prime is 114209261. The next prime is 114209287. The reversal of 114209280 is 82902411.

It can be written as a sum of positive squares in 2 ways, for example, as 112529664 + 1679616 = 10608^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (114209287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20562 + ... + 25518.

Almost surely, 2^114209280 is an apocalyptic number.

114209280 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 114209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197809326).

114209280 is an abundant number, since it is smaller than the sum of its proper divisors (281409372).

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

114209280 is an equidigital number, since it uses as much as digits as its factorization.

114209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114209280 is about 10686.8741922042. The cubic root of 114209280 is about 485.1772901989.

The spelling of 114209280 in words is "one hundred fourteen million, two hundred nine thousand, two hundred eighty".