225449859600 has 360 divisors, whose sum is σ = 927260443200. Its totient is φ = 51531240960.

The previous prime is 225449859563. The next prime is 225449859601. The reversal of 225449859600 is 6958944522.

225449859600 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 49 + 8 + 596 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225449859601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514726 + ... + 846074.

Almost surely, 2^225449859600 is an apocalyptic number.

225449859600 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 225449859600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463630221600).

225449859600 is an abundant number, since it is smaller than the sum of its proper divisors (701810583600).

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

225449859600 is a wasteful number, since it uses less digits than its factorization.

225449859600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331389 (or 331366 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 225449859600 in words is "two hundred twenty-five billion, four hundred forty-nine million, eight hundred fifty-nine thousand, six hundred".