440401728 has 224 divisors, whose sum is σ = 1354921344. Its totient is φ = 125042688.

The previous prime is 440401721. The next prime is 440401729. The reversal of 440401728 is 827104044.

It is a junction number, because it is equal to n+sod(n) for n = 440401695 and 440401704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440401721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4115851 + ... + 4115957.

It is an arithmetic number, because the mean of its divisors is an integer number (6048756).

Almost surely, 2^440401728 is an apocalyptic number.

440401728 is a gapful number since it is divisible by the number (48) 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 440401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677460672).

440401728 is an abundant number, since it is smaller than the sum of its proper divisors (914519616).

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

440401728 is a wasteful number, since it uses less digits than its factorization.

440401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 440401728 is about 20985.7505941532. The cubic root of 440401728 is about 760.8218993896.

The spelling of 440401728 in words is "four hundred forty million, four hundred one thousand, seven hundred twenty-eight".