404096440 has 96 divisors (see below), whose sum is σ = 1034208000. Its totient is φ = 141827840.

The previous prime is 404096431. The next prime is 404096449. The reversal of 404096440 is 44690404.

It is an interprime number because it is at equal distance from previous prime (404096431) and next prime (404096449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404096449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138921 + ... + 141799.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^404096440 is an apocalyptic number.

404096440 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 404096440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

404096440 is an abundant number, since it is smaller than the sum of its proper divisors (630111560).

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

404096440 is a wasteful number, since it uses less digits than its factorization.

404096440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 404096440 is about 20102.1501337543. The cubic root of 404096440 is about 739.3129976540.

The spelling of 404096440 in words is "four hundred four million, ninety-six thousand, four hundred forty".