394624224 has 144 divisors (see below), whose sum is σ = 1225486080. Its totient is φ = 124571520.

The previous prime is 394624211. The next prime is 394624231. The reversal of 394624224 is 422426493.

394624224 is a `hidden beast` number, since 3 + 9 + 4 + 624 + 2 + 24 = 666.

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 (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146409 + ... + 149079.

It is an arithmetic number, because the mean of its divisors is an integer number (8510320).

Almost surely, 2^394624224 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 394624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612743040).

394624224 is an abundant number, since it is smaller than the sum of its proper divisors (830861856).

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

394624224 is a wasteful number, since it uses less digits than its factorization.

394624224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2695 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 394624224 is about 19865.1509936371. The cubic root of 394624224 is about 733.4906468754.

The spelling of 394624224 in words is "three hundred ninety-four million, six hundred twenty-four thousand, two hundred twenty-four".