225959760 has 240 divisors, whose sum is σ = 844142400. Its totient is φ = 55531008.

The previous prime is 225959759. The next prime is 225959771. The reversal of 225959760 is 67959522.

225959760 is a `hidden beast` number, since 2 + 2 + 59 + 597 + 6 + 0 = 666.

225959760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364731 + ... + 365349.

It is an arithmetic number, because the mean of its divisors is an integer number (3517260).

Almost surely, 2^225959760 is an apocalyptic number.

225959760 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 225959760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422071200).

225959760 is an abundant number, since it is smaller than the sum of its proper divisors (618182640).

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

225959760 is a wasteful number, since it uses less digits than its factorization.

225959760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 225959760 is about 15031.9579563010. The cubic root of 225959760 is about 609.0837808491.

The spelling of 225959760 in words is "two hundred twenty-five million, nine hundred fifty-nine thousand, seven hundred sixty".