225485680 has 80 divisors (see below), whose sum is σ = 601818624. Its totient is φ = 76965120.

The previous prime is 225485653. The next prime is 225485693. The reversal of 225485680 is 86584522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146515 + ... + 148045.

Almost surely, 2^225485680 is an apocalyptic number.

225485680 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 225485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300909312).

225485680 is an abundant number, since it is smaller than the sum of its proper divisors (376332944).

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

225485680 is a wasteful number, since it uses less digits than its factorization.

225485680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 225485680 is about 15016.1806062660. The cubic root of 225485680 is about 608.6575152504.

The spelling of 225485680 in words is "two hundred twenty-five million, four hundred eighty-five thousand, six hundred eighty".