225300480 has 208 divisors, whose sum is σ = 762745920. Its totient is φ = 56623104.

The previous prime is 225300463. The next prime is 225300487. The reversal of 225300480 is 84003522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 225300480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225300487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167264 + ... + 1167456.

Almost surely, 2^225300480 is an apocalyptic number.

225300480 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 225300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381372960).

225300480 is an abundant number, since it is smaller than the sum of its proper divisors (537445440).

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

225300480 is a wasteful number, since it uses less digits than its factorization.

225300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 225300480 is about 15010.0126582225. The cubic root of 225300480 is about 608.4908317205.

The spelling of 225300480 in words is "two hundred twenty-five million, three hundred thousand, four hundred eighty".