115502400 has 252 divisors, whose sum is σ = 442818012. Its totient is φ = 28385280.

The previous prime is 115502393. The next prime is 115502407. The reversal of 115502400 is 4205511.

It is an interprime number because it is at equal distance from previous prime (115502393) and next prime (115502407).

It can be written as a sum of positive squares in 6 ways, for example, as 41679936 + 73822464 = 6456^2 + 8592^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115502407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186892 + ... + 187508.

Almost surely, 2^115502400 is an apocalyptic number.

115502400 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 115502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221409006).

115502400 is an abundant number, since it is smaller than the sum of its proper divisors (327315612).

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

115502400 is a wasteful number, since it uses less digits than its factorization.

115502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 115502400 is about 10747.2042876276. The cubic root of 115502400 is about 487.0015417930.

Adding to 115502400 its reverse (4205511), we get a palindrome (119707911).

The spelling of 115502400 in words is "one hundred fifteen million, five hundred two thousand, four hundred".