225591408 has 120 divisors (see below), whose sum is σ = 759574400. Its totient is φ = 61057152.

The previous prime is 225591391. The next prime is 225591419. The reversal of 225591408 is 804195522.

225591408 is a `hidden beast` number, since 2 + 25 + 591 + 40 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13263 + ... + 25041.

Almost surely, 2^225591408 is an apocalyptic number.

225591408 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 225591408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379787200).

225591408 is an abundant number, since it is smaller than the sum of its proper divisors (533982992).

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

225591408 is a wasteful number, since it uses less digits than its factorization.

225591408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819 (or 11810 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 225591408 is about 15019.7006627962. The cubic root of 225591408 is about 608.7526315439.

The spelling of 225591408 in words is "two hundred twenty-five million, five hundred ninety-one thousand, four hundred eight".