225478848 has 112 divisors (see below), whose sum is σ = 687693824. Its totient is φ = 63866880.

The previous prime is 225478811. The next prime is 225478859. The reversal of 225478848 is 848874522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 225478797 and 225478806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170028 + ... + 171348.

Almost surely, 2^225478848 is an apocalyptic number.

225478848 is a gapful number since it is divisible by the number (28) 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 225478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343846912).

225478848 is an abundant number, since it is smaller than the sum of its proper divisors (462214976).

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

225478848 is a wasteful number, since it uses less digits than its factorization.

225478848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 225478848 is about 15015.9531166024. The cubic root of 225478848 is about 608.6513679418.

The spelling of 225478848 in words is "two hundred twenty-five million, four hundred seventy-eight thousand, eight hundred forty-eight".