440401104 has 160 divisors (see below), whose sum is σ = 1485321600. Its totient is φ = 123171840.

The previous prime is 440401069. The next prime is 440401109. The reversal of 440401104 is 401104044.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440401109) 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, 58212 + ... + 65340.

It is an arithmetic number, because the mean of its divisors is an integer number (9283260).

Almost surely, 2^440401104 is an apocalyptic number.

440401104 is a gapful number since it is divisible by the number (44) 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 440401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742660800).

440401104 is an abundant number, since it is smaller than the sum of its proper divisors (1044920496).

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

440401104 is a wasteful number, since it uses less digits than its factorization.

440401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 440401104 is about 20985.7357269170. The cubic root of 440401104 is about 760.8215400563.

Adding to 440401104 its reverse (401104044), we get a palindrome (841505148).

The spelling of 440401104 in words is "four hundred forty million, four hundred one thousand, one hundred four".