404434944 has 260 divisors, whose sum is σ = 1284479856. Its totient is φ = 126517248.

The previous prime is 404434939. The next prime is 404434951. The reversal of 404434944 is 449434404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404434899 and 404434908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7630822 + ... + 7630874.

Almost surely, 2^404434944 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 404434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642239928).

404434944 is an abundant number, since it is smaller than the sum of its proper divisors (880044912).

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

404434944 is an equidigital number, since it uses as much as digits as its factorization.

404434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 404434944 is about 20110.5679681107. The cubic root of 404434944 is about 739.5193762435.

The spelling of 404434944 in words is "four hundred four million, four hundred thirty-four thousand, nine hundred forty-four".