225648440 has 32 divisors (see below), whose sum is σ = 508686480. Its totient is φ = 90085632.

The previous prime is 225648433. The next prime is 225648491. The reversal of 225648440 is 44846522.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225648440.

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, 16724 + ... + 27036.

Almost surely, 2^225648440 is an apocalyptic number.

225648440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225648440 is an abundant number, since it is smaller than the sum of its proper divisors (283038040).

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

225648440 is a wasteful number, since it uses less digits than its factorization.

225648440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 225648440 is about 15021.5991159397. The cubic root of 225648440 is about 608.8039270181.

The spelling of 225648440 in words is "two hundred twenty-five million, six hundred forty-eight thousand, four hundred forty".