225375360 has 256 divisors, whose sum is σ = 843091200. Its totient is φ = 50135040.

The previous prime is 225375349. The next prime is 225375377. The reversal of 225375360 is 63573522.

225375360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 550836 + ... + 551244.

It is an arithmetic number, because the mean of its divisors is an integer number (3293325).

Almost surely, 2^225375360 is an apocalyptic number.

225375360 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 225375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421545600).

225375360 is an abundant number, since it is smaller than the sum of its proper divisors (617715840).

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

225375360 is a wasteful number, since it uses less digits than its factorization.

225375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 225375360 is about 15012.5067860101. The cubic root of 225375360 is about 608.5582361436.

The spelling of 225375360 in words is "two hundred twenty-five million, three hundred seventy-five thousand, three hundred sixty".