394624944 has 120 divisors (see below), whose sum is σ = 1336476960. Its totient is φ = 106113024.

The previous prime is 394624939. The next prime is 394624957. The reversal of 394624944 is 449426493.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 394624944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5622 + ... + 28650.

It is an arithmetic number, because the mean of its divisors is an integer number (11137308).

Almost surely, 2^394624944 is an apocalyptic number.

394624944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394624944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668238480).

394624944 is an abundant number, since it is smaller than the sum of its proper divisors (941852016).

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

394624944 is a wasteful number, since it uses less digits than its factorization.

394624944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23067 (or 23058 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 394624944 is about 19865.1691158168. The cubic root of 394624944 is about 733.4910929647.

The spelling of 394624944 in words is "three hundred ninety-four million, six hundred twenty-four thousand, nine hundred forty-four".