225105408 has 120 divisors (see below), whose sum is σ = 708889896. Its totient is φ = 68198400.

The previous prime is 225105401. The next prime is 225105421. The reversal of 225105408 is 804501522.

It is a happy number.

225105408 is a `hidden beast` number, since 2 + 251 + 0 + 5 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225105401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48468 + ... + 52908.

Almost surely, 2^225105408 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 225105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354444948).

225105408 is an abundant number, since it is smaller than the sum of its proper divisors (483784488).

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

225105408 is a wasteful number, since it uses less digits than its factorization.

225105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 225105408 is about 15003.5131885835. The cubic root of 225105408 is about 608.3151643955.

The spelling of 225105408 in words is "two hundred twenty-five million, one hundred five thousand, four hundred eight".