115285440 has 224 divisors, whose sum is σ = 391728960. Its totient is φ = 28672000.

The previous prime is 115285439. The next prime is 115285459. The reversal of 115285440 is 44582511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 115285398 and 115285407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141390 + ... + 1141490.

It is an arithmetic number, because the mean of its divisors is an integer number (1748790).

Almost surely, 2^115285440 is an apocalyptic number.

115285440 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 115285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

115285440 is an abundant number, since it is smaller than the sum of its proper divisors (276443520).

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

115285440 is a wasteful number, since it uses less digits than its factorization.

115285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 115285440 is about 10737.1057552769. The cubic root of 115285440 is about 486.6964223586.

The spelling of 115285440 in words is "one hundred fifteen million, two hundred eighty-five thousand, four hundred forty".