404666440 has 48 divisors (see below), whose sum is σ = 922739580. Its totient is φ = 159719040.

The previous prime is 404666413. The next prime is 404666441. The reversal of 404666440 is 44666404.

It can be written as a sum of positive squares in 2 ways, for example, as 402644356 + 2022084 = 20066^2 + 1422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404666396 and 404666405.

It is not an unprimeable number, because it can be changed into a prime (404666441) 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, 248830 + ... + 250450.

Almost surely, 2^404666440 is an apocalyptic number.

404666440 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 404666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461369790).

404666440 is an abundant number, since it is smaller than the sum of its proper divisors (518073140).

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

404666440 is a wasteful number, since it uses less digits than its factorization.

404666440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 404666440 is about 20116.3227255878. The cubic root of 404666440 is about 739.6604480662.

The spelling of 404666440 in words is "four hundred four million, six hundred sixty-six thousand, four hundred forty".