393384924 has 144 divisors (see below), whose sum is σ = 1076275200. Its totient is φ = 125551296.

The previous prime is 393384923. The next prime is 393384997. The reversal of 393384924 is 429483393.

It is a self number, because there is not a number n which added to its sum of digits gives 393384924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393384923) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3608982 + ... + 3609090.

Almost surely, 2^393384924 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 393384924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538137600).

393384924 is an abundant number, since it is smaller than the sum of its proper divisors (682890276).

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

393384924 is a wasteful number, since it uses less digits than its factorization.

393384924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 393384924 is about 19833.9336491781. The cubic root of 393384924 is about 732.7220099960.

The spelling of 393384924 in words is "three hundred ninety-three million, three hundred eighty-four thousand, nine hundred twenty-four".