225962464 has 144 divisors (see below), whose sum is σ = 566673408. Its totient is φ = 86800896.

The previous prime is 225962449. The next prime is 225962467. The reversal of 225962464 is 464269522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225962467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1779169 + ... + 1779295.

It is an arithmetic number, because the mean of its divisors is an integer number (3935232).

Almost surely, 2^225962464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225962464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283336704).

225962464 is an abundant number, since it is smaller than the sum of its proper divisors (340710944).

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

225962464 is a wasteful number, since it uses less digits than its factorization.

225962464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 225962464 is about 15032.0478977417. The cubic root of 225962464 is about 609.0862104203.

The spelling of 225962464 in words is "two hundred twenty-five million, nine hundred sixty-two thousand, four hundred sixty-four".