225489420 has 288 divisors, whose sum is σ = 791062272. Its totient is φ = 53561088.

The previous prime is 225489379. The next prime is 225489431. The reversal of 225489420 is 24984522.

225489420 is a `hidden beast` number, since 2 + 2 + 548 + 94 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716699 + ... + 2716781.

It is an arithmetic number, because the mean of its divisors is an integer number (2746744).

Almost surely, 2^225489420 is an apocalyptic number.

225489420 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 225489420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395531136).

225489420 is an abundant number, since it is smaller than the sum of its proper divisors (565572852).

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

225489420 is a wasteful number, since it uses less digits than its factorization.

225489420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225489420 is about 15016.3051380824. The cubic root of 225489420 is about 608.6608803813.

The spelling of 225489420 in words is "two hundred twenty-five million, four hundred eighty-nine thousand, four hundred twenty".