404845344 has 192 divisors, whose sum is σ = 1281329280. Its totient is φ = 123863040.

The previous prime is 404845339. The next prime is 404845351. The reversal of 404845344 is 443548404.

404845344 is a `hidden beast` number, since 40 + 4 + 84 + 534 + 4 = 666.

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 = 404845299 and 404845308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631264 + ... + 631904.

It is an arithmetic number, because the mean of its divisors is an integer number (6673590).

Almost surely, 2^404845344 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 404845344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640664640).

404845344 is an abundant number, since it is smaller than the sum of its proper divisors (876483936).

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

404845344 is a wasteful number, since it uses less digits than its factorization.

404845344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 404845344 is about 20120.7689713887. The cubic root of 404845344 is about 739.7694338906.

The spelling of 404845344 in words is "four hundred four million, eight hundred forty-five thousand, three hundred forty-four".