115242414 has 48 divisors (see below), whose sum is σ = 270839376. Its totient is φ = 32592000.

The previous prime is 115242409. The next prime is 115242419. The reversal of 115242414 is 414242511.

It is an interprime number because it is at equal distance from previous prime (115242409) and next prime (115242419).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115242419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27754 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (5642487).

Almost surely, 2^115242414 is an apocalyptic number.

115242414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115242414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135419688).

115242414 is an abundant number, since it is smaller than the sum of its proper divisors (155596962).

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

115242414 is a wasteful number, since it uses less digits than its factorization.

115242414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3994 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 115242414 is about 10735.1019557338. The cubic root of 115242414 is about 486.6358677158.

Adding to 115242414 its reverse (414242511), we get a palindrome (529484925).

It can be divided in two parts, 11 and 5242414, that added together give a palindrome (5242425).

The spelling of 115242414 in words is "one hundred fifteen million, two hundred forty-two thousand, four hundred fourteen".