404029440 has 204 divisors, whose sum is σ = 1410848244. Its totient is φ = 106954752.

The previous prime is 404029427. The next prime is 404029487. The reversal of 404029440 is 44920404.

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 212926464 = 13824^2 + 14592^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949052 + ... + 2949188.

Almost surely, 2^404029440 is an apocalyptic number.

404029440 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 404029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705424122).

404029440 is an abundant number, since it is smaller than the sum of its proper divisors (1006818804).

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

404029440 is an equidigital number, since it uses as much as digits as its factorization.

404029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 404029440 is about 20100.4835762725. The cubic root of 404029440 is about 739.2721355364.

Adding to 404029440 its reverse (44920404), we get a palindrome (448949844).

The spelling of 404029440 in words is "four hundred four million, twenty-nine thousand, four hundred forty".