225447600 has 120 divisors (see below), whose sum is σ = 825383680. Its totient is φ = 51528960.

The previous prime is 225447583. The next prime is 225447619. The reversal of 225447600 is 6744522.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 5020 + ... + 21819.

Almost surely, 2^225447600 is an apocalyptic number.

225447600 is a gapful number since it is divisible by the number (20) 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 225447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412691840).

225447600 is an abundant number, since it is smaller than the sum of its proper divisors (599936080).

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

225447600 is a wasteful number, since it uses less digits than its factorization.

225447600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26867 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 225447600 is about 15014.9125871581. The cubic root of 225447600 is about 608.6232499805.

The spelling of 225447600 in words is "two hundred twenty-five million, four hundred forty-seven thousand, six hundred".