225386448 has 80 divisors (see below), whose sum is σ = 672992640. Its totient is φ = 63664128.

The previous prime is 225386401. The next prime is 225386467. The reversal of 225386448 is 844683522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26136 + ... + 33672.

It is an arithmetic number, because the mean of its divisors is an integer number (8412408).

Almost surely, 2^225386448 is an apocalyptic number.

225386448 is a gapful number since it is divisible by the number (28) 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 225386448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336496320).

225386448 is an abundant number, since it is smaller than the sum of its proper divisors (447606192).

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

225386448 is a wasteful number, since it uses less digits than its factorization.

225386448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7638 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 225386448 is about 15012.8760735577. The cubic root of 225386448 is about 608.5682159140.

The spelling of 225386448 in words is "two hundred twenty-five million, three hundred eighty-six thousand, four hundred forty-eight".