225420 has 72 divisors (see below), whose sum is σ = 722064. Its totient is φ = 52224.

The previous prime is 225383. The next prime is 225427. The reversal of 225420 is 24522.

225420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 225420.

It is not an unprimeable number, because it can be changed into a prime (225427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13252 + ... + 13268.

2²²⁵⁴²⁰ is an apocalyptic number.

225420 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 225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361032).

225420 is an abundant number, since it is smaller than the sum of its proper divisors (496644).

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

225420 is a wasteful number, since it uses less digits than its factorization.

225420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 225420 is about 474.7841614881. The cubic root of 225420 is about 60.8598412447.

Multiplying 225420 by its sum of digits (15), we get a triangular number (3381300 = T₂₆₀₀).

Adding to 225420 its reverse (24522), we get a palindrome (249942).

The spelling of 225420 in words is "two hundred twenty-five thousand, four hundred twenty".