440100 has 72 divisors (see below), whose sum is σ = 1423520. Its totient is φ = 116640.

The previous prime is 440093. The next prime is 440101. The reversal of 440100 is 1044.

440100 = T₁₇₅ + T₁₇₆ + ... + T₁₉₉.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (440101) by changing a digit.

440100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2619 + ... + 2781.

2⁴⁴⁰¹⁰⁰ 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 440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711760).

440100 is an abundant number, since it is smaller than the sum of its proper divisors (983420).

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

440100 is a wasteful number, since it uses less digits than its factorization.

440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 440100 is about 663.4003316249. The cubic root of 440100 is about 76.0648108279.

Adding to 440100 its reverse (1044), we get a palindrome (441144).

It can be divided in two parts, 4 and 40100, that added together give a palindrome (40104).

The spelling of 440100 in words is "four hundred forty thousand, one hundred", and thus it is an iban number.