225469440 has 352 divisors, whose sum is σ = 919676160. Its totient is φ = 51314688.

The previous prime is 225469429. The next prime is 225469469. The reversal of 225469440 is 44964522.

225469440 is a `hidden beast` number, since 22 + 546 + 94 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225469395 and 225469404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967564 + ... + 967796.

Almost surely, 2^225469440 is an apocalyptic number.

225469440 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 225469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459838080).

225469440 is an abundant number, since it is smaller than the sum of its proper divisors (694206720).

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

225469440 is a wasteful number, since it uses less digits than its factorization.

225469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 225469440 is about 15015.6398465067. The cubic root of 225469440 is about 608.6429025924.

The spelling of 225469440 in words is "two hundred twenty-five million, four hundred sixty-nine thousand, four hundred forty".