225492480 has 120 divisors (see below), whose sum is σ = 781023672. Its totient is φ = 60125184.

The previous prime is 225492479. The next prime is 225492503. The reversal of 225492480 is 84294522.

225492480 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 (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18147 + ... + 27933.

Almost surely, 2^225492480 is an apocalyptic number.

225492480 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 225492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390511836).

225492480 is an abundant number, since it is smaller than the sum of its proper divisors (555531192).

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

225492480 is an equidigital number, since it uses as much as digits as its factorization.

225492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225492480 is about 15016.4070269822. The cubic root of 225492480 is about 608.6636336426.

The spelling of 225492480 in words is "two hundred twenty-five million, four hundred ninety-two thousand, four hundred eighty".