404040064 has 64 divisors (see below), whose sum is σ = 842724000. Its totient is φ = 192704512.

The previous prime is 404040047. The next prime is 404040067. The reversal of 404040064 is 460040404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404040067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329757 + ... + 330979.

Almost surely, 2^404040064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421362000).

404040064 is an abundant number, since it is smaller than the sum of its proper divisors (438683936).

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

404040064 is a wasteful number, since it uses less digits than its factorization.

404040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1343 counting only the distinct ones).

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

The square root of 404040064 is about 20100.7478467842. The cubic root of 404040064 is about 739.2786152278.

Adding to 404040064 its reverse (460040404), we get a palindrome (864080468).

The spelling of 404040064 in words is "four hundred four million, forty thousand, sixty-four".