440120226 has 128 divisors (see below), whose sum is σ = 1144958976. Its totient is φ = 109612800.

The previous prime is 440120221. The next prime is 440120251. The reversal of 440120226 is 622021044.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (440120221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268185 + ... + 1268531.

It is an arithmetic number, because the mean of its divisors is an integer number (8944992).

Almost surely, 2^440120226 is an apocalyptic number.

440120226 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 440120226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572479488).

440120226 is an abundant number, since it is smaller than the sum of its proper divisors (704838750).

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

440120226 is a wasteful number, since it uses less digits than its factorization.

440120226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 440120226 is about 20979.0425424994. The cubic root of 440120226 is about 760.6597606562.

The spelling of 440120226 in words is "four hundred forty million, one hundred twenty thousand, two hundred twenty-six".