226605456 has 240 divisors, whose sum is σ = 802234368. Its totient is φ = 58003200.

The previous prime is 226605451. The next prime is 226605493. The reversal of 226605456 is 654506622.

226605456 is a `hidden beast` number, since 2 + 2 + 6 + 605 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226605456.

It is not an unprimeable number, because it can be changed into a prime (226605451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186321 + ... + 1186511.

Almost surely, 2^226605456 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 226605456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401117184).

226605456 is an abundant number, since it is smaller than the sum of its proper divisors (575628912).

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

226605456 is a wasteful number, since it uses less digits than its factorization.

226605456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 226605456 is about 15053.4200765142. The cubic root of 226605456 is about 609.6633957670.

The spelling of 226605456 in words is "two hundred twenty-six million, six hundred five thousand, four hundred fifty-six".