115002400 has 72 divisors (see below), whose sum is σ = 290489220. Its totient is φ = 44405760.

The previous prime is 115002397. The next prime is 115002403. The reversal of 115002400 is 4200511.

115002400 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (115002397) and next prime (115002403).

It can be written as a sum of positive squares in 6 ways, for example, as 64705936 + 50296464 = 8044^2 + 7092^2 .

It is not an unprimeable number, because it can be changed into a prime (115002403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20722 + ... + 25678.

Almost surely, 2^115002400 is an apocalyptic number.

115002400 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 115002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145244610).

115002400 is an abundant number, since it is smaller than the sum of its proper divisors (175486820).

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

115002400 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (115002399) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5006).

115002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 115002400 is about 10723.9171947568. The cubic root of 115002400 is about 486.2977960036.

Adding to 115002400 its reverse (4200511), we get a palindrome (119202911).

The spelling of 115002400 in words is "one hundred fifteen million, two thousand, four hundred".