440344100 has 144 divisors (see below), whose sum is σ = 1140343680. Its totient is φ = 144460800.

The previous prime is 440344061. The next prime is 440344111. The reversal of 440344100 is 1443044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922786 + ... + 1923014.

Almost surely, 2^440344100 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 440344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570171840).

440344100 is an abundant number, since it is smaller than the sum of its proper divisors (699999580).

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

440344100 is a wasteful number, since it uses less digits than its factorization.

440344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 440344100 is about 20984.3775223379. The cubic root of 440344100 is about 760.7887126012.

Adding to 440344100 its reverse (1443044), we get a palindrome (441787144).

The spelling of 440344100 in words is "four hundred forty million, three hundred forty-four thousand, one hundred".