115584448 has 112 divisors (see below), whose sum is σ = 284154880. Its totient is φ = 45536256.

The previous prime is 115584439. The next prime is 115584457. The reversal of 115584448 is 844485511.

It is an interprime number because it is at equal distance from previous prime (115584439) and next prime (115584457).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 115584448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314761 + ... + 315127.

Almost surely, 2^115584448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142077440).

115584448 is an abundant number, since it is smaller than the sum of its proper divisors (168570432).

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

115584448 is a wasteful number, since it uses less digits than its factorization.

115584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its digits is 102400, while the sum is 40.

The square root of 115584448 is about 10751.0207887437. The cubic root of 115584448 is about 487.1168295702.

The spelling of 115584448 in words is "one hundred fifteen million, five hundred eighty-four thousand, four hundred forty-eight".