404436040 has 32 divisors (see below), whose sum is σ = 918044280. Its totient is φ = 160340992.

The previous prime is 404436037. The next prime is 404436061. The reversal of 404436040 is 40634404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61371556 + 343064484 = 7834^2 + 18522^2 .

It is a super-4 number, since 4×404436040⁴ (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404435996 and 404436014.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40219 + ... + 49258.

Almost surely, 2^404436040 is an apocalyptic number.

404436040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404436040 is an abundant number, since it is smaller than the sum of its proper divisors (513608240).

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

404436040 is a wasteful number, since it uses less digits than its factorization.

404436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89601 (or 89597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 404436040 is about 20110.5952174469. The cubic root of 404436040 is about 739.5200442640.

The spelling of 404436040 in words is "four hundred four million, four hundred thirty-six thousand, forty".