225645420 has 432 divisors, whose sum is σ = 906087168. Its totient is φ = 40734720.

The previous prime is 225645419. The next prime is 225645517. The reversal of 225645420 is 24546522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13273252 + ... + 13273268.

It is an arithmetic number, because the mean of its divisors is an integer number (2097424).

Almost surely, 2^225645420 is an apocalyptic number.

225645420 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 225645420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453043584).

225645420 is an abundant number, since it is smaller than the sum of its proper divisors (680441748).

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

225645420 is a wasteful number, since it uses less digits than its factorization.

225645420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 225645420 is about 15021.4985936823. The cubic root of 225645420 is about 608.8012109996.

The spelling of 225645420 in words is "two hundred twenty-five million, six hundred forty-five thousand, four hundred twenty".