404406432 has 144 divisors (see below), whose sum is σ = 1204755552. Its totient is φ = 133436160.

The previous prime is 404406397. The next prime is 404406433. The reversal of 404406432 is 234604404.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404406396 and 404406405.

It is not an unprimeable number, because it can be changed into a prime (404406433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018458 + ... + 1018854.

It is an arithmetic number, because the mean of its divisors is an integer number (8366358).

Almost surely, 2^404406432 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 404406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602377776).

404406432 is an abundant number, since it is smaller than the sum of its proper divisors (800349120).

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

404406432 is a wasteful number, since it uses less digits than its factorization.

404406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 404406432 is about 20109.8590745932. The cubic root of 404406432 is about 739.5019975342.

The spelling of 404406432 in words is "four hundred four million, four hundred six thousand, four hundred thirty-two".