404123440 has 80 divisors (see below), whose sum is σ = 1108500480. Its totient is φ = 134081280.

The previous prime is 404123393. The next prime is 404123449. The reversal of 404123440 is 44321404.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (404123449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5721 + ... + 28999.

It is an arithmetic number, because the mean of its divisors is an integer number (13856256).

Almost surely, 2^404123440 is an apocalyptic number.

404123440 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 404123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554250240).

404123440 is an abundant number, since it is smaller than the sum of its proper divisors (704377040).

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

404123440 is a wasteful number, since it uses less digits than its factorization.

404123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23330 (or 23324 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 404123440 is about 20102.8216924888. The cubic root of 404123440 is about 739.3294632006.

Adding to 404123440 its reverse (44321404), we get a palindrome (448444844).

The spelling of 404123440 in words is "four hundred four million, one hundred twenty-three thousand, four hundred forty".