404513408 has 64 divisors (see below), whose sum is σ = 871936800. Its totient is φ = 185822208.

The previous prime is 404513407. The next prime is 404513411. The reversal of 404513408 is 804315404.

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

It is not an unprimeable number, because it can be changed into a prime (404513407) 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, 470483 + ... + 471341.

Almost surely, 2^404513408 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 404513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435968400).

404513408 is an abundant number, since it is smaller than the sum of its proper divisors (467423392).

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

404513408 is a wasteful number, since it uses less digits than its factorization.

404513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 404513408 is about 20112.5186886178. The cubic root of 404513408 is about 739.5671976110.

The spelling of 404513408 in words is "four hundred four million, five hundred thirteen thousand, four hundred eight".