225301440 has 224 divisors, whose sum is σ = 880750080. Its totient is φ = 47517696.

The previous prime is 225301423. The next prime is 225301441. The reversal of 225301440 is 44103522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225301441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86071 + ... + 88649.

It is an arithmetic number, because the mean of its divisors is an integer number (3931920).

Almost surely, 2^225301440 is an apocalyptic number.

225301440 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 225301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440375040).

225301440 is an abundant number, since it is smaller than the sum of its proper divisors (655448640).

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

225301440 is a wasteful number, since it uses less digits than its factorization.

225301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225301440 is about 15010.0446368424. The cubic root of 225301440 is about 608.4916959743.

Adding to 225301440 its reverse (44103522), we get a palindrome (269404962).

The spelling of 225301440 in words is "two hundred twenty-five million, three hundred one thousand, four hundred forty".