115214400 has 420 divisors, whose sum is σ = 487810048. Its totient is φ = 26127360.

The previous prime is 115214377. The next prime is 115214413. The reversal of 115214400 is 4412511.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 907137 + ... + 907263.

Almost surely, 2^115214400 is an apocalyptic number.

115214400 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 115214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243905024).

115214400 is an abundant number, since it is smaller than the sum of its proper divisors (372595648).

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

115214400 is a wasteful number, since it uses less digits than its factorization.

115214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 115214400 is about 10733.7970914304. The cubic root of 115214400 is about 486.5964328078.

Adding to 115214400 its reverse (4412511), we get a palindrome (119626911).

The spelling of 115214400 in words is "one hundred fifteen million, two hundred fourteen thousand, four hundred".