225464320 has 104 divisors (see below), whose sum is σ = 551418120. Its totient is φ = 88473600.

The previous prime is 225464287. The next prime is 225464339. The reversal of 225464320 is 23464522.

It can be written as a sum of positive squares in 4 ways, for example, as 97140736 + 128323584 = 9856^2 + 11328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2068426 + ... + 2068534.

Almost surely, 2^225464320 is an apocalyptic number.

225464320 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 225464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275709060).

225464320 is an abundant number, since it is smaller than the sum of its proper divisors (325953800).

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

225464320 is a wasteful number, since it uses less digits than its factorization.

225464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 225464320 is about 15015.4693566335. The cubic root of 225464320 is about 608.6382955006.

The spelling of 225464320 in words is "two hundred twenty-five million, four hundred sixty-four thousand, three hundred twenty".