115338420 has 72 divisors (see below), whose sum is σ = 354332160. Its totient is φ = 30363840.

The previous prime is 115338407. The next prime is 115338463. The reversal of 115338420 is 24833511.

It is a happy number.

It is a super-2 number, since 2×115338420² = 26605902256192800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10165 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (4921280).

Almost surely, 2^115338420 is an apocalyptic number.

115338420 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 115338420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177166080).

115338420 is an abundant number, since it is smaller than the sum of its proper divisors (238993740).

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

115338420 is a wasteful number, since it uses less digits than its factorization.

115338420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115338420 is about 10739.5726171948. The cubic root of 115338420 is about 486.7709655318.

The spelling of 115338420 in words is "one hundred fifteen million, three hundred thirty-eight thousand, four hundred twenty".