114417240 has 256 divisors, whose sum is σ = 423014400. Its totient is φ = 24178176.

The previous prime is 114417227. The next prime is 114417253. The reversal of 114417240 is 42714411.

It is an interprime number because it is at equal distance from previous prime (114417227) and next prime (114417253).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114417240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069267 + ... + 1069373.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^114417240 is an apocalyptic number.

114417240 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 114417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

114417240 is an abundant number, since it is smaller than the sum of its proper divisors (308597160).

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

114417240 is a wasteful number, since it uses less digits than its factorization.

114417240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 114417240 is about 10696.5994596414. The cubic root of 114417240 is about 485.4715928768.

It can be divided in two parts, 11441 and 7240, that added together give a palindrome (18681).

The spelling of 114417240 in words is "one hundred fourteen million, four hundred seventeen thousand, two hundred forty".