440400400 has 120 divisors (see below), whose sum is σ = 1166853888. Its totient is φ = 158400000.

The previous prime is 440400383. The next prime is 440400413. The reversal of 440400400 is 4004044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443905 + ... + 444895.

Almost surely, 2^440400400 is an apocalyptic number.

440400400 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 440400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583426944).

440400400 is an abundant number, since it is smaller than the sum of its proper divisors (726453488).

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

440400400 is a wasteful number, since it uses less digits than its factorization.

440400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 440400400 is about 20985.7189536122. The cubic root of 440400400 is about 760.8211346541.

Adding to 440400400 its reverse (4004044), we get a palindrome (444404444).

It can be divided in two parts, 4 and 40400400, that added together give a palindrome (40400404).

The spelling of 440400400 in words is "four hundred forty million, four hundred thousand, four hundred".