225404928 has 144 divisors (see below), whose sum is σ = 744438240. Its totient is φ = 64364544.

The previous prime is 225404917. The next prime is 225404941. The reversal of 225404928 is 829404522.

225404928 is a `hidden beast` number, since 22 + 540 + 4 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 225404892 and 225404901.

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, 128151 + ... + 129897.

It is an arithmetic number, because the mean of its divisors is an integer number (5169710).

Almost surely, 2^225404928 is an apocalyptic number.

225404928 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 225404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372219120).

225404928 is an abundant number, since it is smaller than the sum of its proper divisors (519033312).

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

225404928 is a wasteful number, since it uses less digits than its factorization.

225404928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1759 counting only the distinct ones).

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

The square root of 225404928 is about 15013.4915326183. The cubic root of 225404928 is about 608.5848481374.

The spelling of 225404928 in words is "two hundred twenty-five million, four hundred four thousand, nine hundred twenty-eight".