225305440 has 48 divisors (see below), whose sum is σ = 533775312. Its totient is φ = 89869824.

The previous prime is 225305419. The next prime is 225305441. The reversal of 225305440 is 44503522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225305441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61747 + ... + 65293.

It is an arithmetic number, because the mean of its divisors is an integer number (11120319).

Almost surely, 2^225305440 is an apocalyptic number.

225305440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225305440 is an abundant number, since it is smaller than the sum of its proper divisors (308469872).

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

225305440 is a wasteful number, since it uses less digits than its factorization.

225305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 225305440 is about 15010.1778803584. The cubic root of 225305440 is about 608.4952970052.

Adding to 225305440 its reverse (44503522), we get a palindrome (269808962).

The spelling of 225305440 in words is "two hundred twenty-five million, three hundred five thousand, four hundred forty".