225456048 has 100 divisors (see below), whose sum is σ = 668608248. Its totient is φ = 73301760.

The previous prime is 225456043. The next prime is 225456053. The reversal of 225456048 is 840654522.

It is a happy number.

225456048 is a `hidden beast` number, since 2 + 2 + 5 + 45 + 604 + 8 = 666.

225456048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225456043) and next prime (225456053).

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

It is not an unprimeable number, because it can be changed into a prime (225456043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51015 + ... + 55257.

Almost surely, 2^225456048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225456048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334304124).

225456048 is an abundant number, since it is smaller than the sum of its proper divisors (443152200).

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

225456048 is a wasteful number, since it uses less digits than its factorization.

225456048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 225456048 is about 15015.1939048419. The cubic root of 225456048 is about 608.6308520205.

The spelling of 225456048 in words is "two hundred twenty-five million, four hundred fifty-six thousand, forty-eight".