225399040 has 72 divisors (see below), whose sum is σ = 542645208. Its totient is φ = 89702400.

The previous prime is 225399019. The next prime is 225399043. The reversal of 225399040 is 40993522.

It can be written as a sum of positive squares in 4 ways, for example, as 112529664 + 112869376 = 10608^2 + 10624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225398987 and 225399005.

It is not an unprimeable number, because it can be changed into a prime (225399043) 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, 374740 + ... + 375340.

It is an arithmetic number, because the mean of its divisors is an integer number (7536739).

Almost surely, 2^225399040 is an apocalyptic number.

225399040 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 225399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271322604).

225399040 is an abundant number, since it is smaller than the sum of its proper divisors (317246168).

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

225399040 is an equidigital number, since it uses as much as digits as its factorization.

225399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 225399040 is about 15013.2954410416. The cubic root of 225399040 is about 608.5795489649.

The spelling of 225399040 in words is "two hundred twenty-five million, three hundred ninety-nine thousand, forty".