226405440 has 168 divisors, whose sum is σ = 786140160. Its totient is φ = 59802624.

The previous prime is 226405423. The next prime is 226405447. The reversal of 226405440 is 44504622.

226405440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226405447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365451 + ... + 366069.

Almost surely, 2^226405440 is an apocalyptic number.

226405440 is a gapful number since it is divisible by the number (20) 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 226405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393070080).

226405440 is an abundant number, since it is smaller than the sum of its proper divisors (559734720).

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

226405440 is a wasteful number, since it uses less digits than its factorization.

226405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 226405440 is about 15046.7750697616. The cubic root of 226405440 is about 609.4839674168.

The spelling of 226405440 in words is "two hundred twenty-six million, four hundred five thousand, four hundred forty".