225264260 has 48 divisors (see below), whose sum is σ = 511355376. Its totient is φ = 82862592.

The previous prime is 225264253. The next prime is 225264269. The reversal of 225264260 is 62462522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5750404 + 219513856 = 2398^2 + 14816^2 .

It is not an unprimeable number, because it can be changed into a prime (225264269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74702 + ... + 77658.

It is an arithmetic number, because the mean of its divisors is an integer number (10653237).

Almost surely, 2^225264260 is an apocalyptic number.

225264260 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 225264260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255677688).

225264260 is an abundant number, since it is smaller than the sum of its proper divisors (286091116).

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

225264260 is a wasteful number, since it uses less digits than its factorization.

225264260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 225264260 is about 15008.8060817641. The cubic root of 225264260 is about 608.4582223521.

The spelling of 225264260 in words is "two hundred twenty-five million, two hundred sixty-four thousand, two hundred sixty".