400444400 has 60 divisors (see below), whose sum is σ = 967557864. Its totient is φ = 159264000.

The previous prime is 400444381. The next prime is 400444403. The reversal of 400444400 is 4444004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400444403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69635 + ... + 75165.

Almost surely, 2^400444400 is an apocalyptic number.

400444400 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 400444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483778932).

400444400 is an abundant number, since it is smaller than the sum of its proper divisors (567113464).

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

400444400 is a wasteful number, since it uses less digits than its factorization.

400444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 400444400 is about 20011.1069159105. The cubic root of 400444400 is about 737.0790626728.

Adding to 400444400 its reverse (4444004), we get a palindrome (404888404).

It can be divided in two parts, 40044 and 4400, that added together give a palindrome (44444).

The spelling of 400444400 in words is "four hundred million, four hundred forty-four thousand, four hundred".