440400 has 60 divisors (see below), whose sum is σ = 1414592. Its totient is φ = 117120.

The previous prime is 440399. The next prime is 440431. The reversal of 440400 is 4044.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017 + ... + 1383.

2⁴⁴⁰⁴⁰⁰ is an apocalyptic number.

440400 is a gapful number since it is divisible by the number (40) 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 440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707296).

440400 is an abundant number, since it is smaller than the sum of its proper divisors (974192).

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

440400 is a wasteful number, since it uses less digits than its factorization.

440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 440400 is about 663.6264009215. The cubic root of 440400 is about 76.0820904312.

Adding to 440400 its reverse (4044), we get a palindrome (444444).

It can be divided in two parts, 4 and 40400, that added together give a palindrome (40404).

The spelling of 440400 in words is "four hundred forty thousand, four hundred", and thus it is an iban number.