225387360 has 576 divisors, whose sum is σ = 951035904. Its totient is φ = 49766400.

The previous prime is 225387347. The next prime is 225387361. The reversal of 225387360 is 63783522.

225387360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225387361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7270545 + ... + 7270575.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^225387360 is an apocalyptic number.

225387360 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 225387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

225387360 is an abundant number, since it is smaller than the sum of its proper divisors (725648544).

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

225387360 is a wasteful number, since it uses less digits than its factorization.

225387360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 225387360 is about 15012.9064474538. The cubic root of 225387360 is about 608.5690367463.

The spelling of 225387360 in words is "two hundred twenty-five million, three hundred eighty-seven thousand, three hundred sixty".