400004440 has 64 divisors (see below), whose sum is σ = 991660320. Its totient is φ = 144000000.

The previous prime is 400004419. The next prime is 400004471. The reversal of 400004440 is 44400004.

400004440 is a modest number, since divided by 4440 gives 400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39940 + ... + 48940.

Almost surely, 2^400004440 is an apocalyptic number.

400004440 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 400004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495830160).

400004440 is an abundant number, since it is smaller than the sum of its proper divisors (591655880).

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

400004440 is a wasteful number, since it uses less digits than its factorization.

400004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9120 counting only the distinct ones).

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

The square root of 400004440 is about 20000.1109996920. The cubic root of 400004440 is about 736.8090259013.

Adding to 400004440 its reverse (44400004), we get a palindrome (444404444).

The spelling of 400004440 in words is "four hundred million, four thousand, four hundred forty".