393308224 has 63 divisors (see below), whose sum is σ = 814285773. Its totient is φ = 188483328.

The previous prime is 393308221. The next prime is 393308233. The reversal of 393308224 is 422803393.

The square root of 393308224 is 19832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 351937600 + 41370624 = 18760^2 + 6432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 393308224.

It is not an unprimeable number, because it can be changed into a prime (393308221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5870239 + ... + 5870305.

It is an arithmetic number, because the mean of its divisors is an integer number (12925171).

Almost surely, 2^393308224 is an apocalyptic number.

393308224 is the 19832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393308224

393308224 is an abundant number, since it is smaller than the sum of its proper divisors (420977549).

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

393308224 is an frugal number, since it uses more digits than its factorization.

393308224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The cubic root of 393308224 is about 732.6743862161.

The spelling of 393308224 in words is "three hundred ninety-three million, three hundred eight thousand, two hundred twenty-four".