393427224 has 192 divisors, whose sum is σ = 1190592000. Its totient is φ = 116847360.

The previous prime is 393427207. The next prime is 393427249. The reversal of 393427224 is 422724393.

It is a happy number.

393427224 is a `hidden beast` number, since 3 + 9 + 3 + 427 + 224 = 666.

It is a Cunningham number, because it is equal to 19835²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864479 + ... + 1864689.

It is an arithmetic number, because the mean of its divisors is an integer number (6201000).

Almost surely, 2^393427224 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 393427224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595296000).

393427224 is an abundant number, since it is smaller than the sum of its proper divisors (797164776).

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

393427224 is a wasteful number, since it uses less digits than its factorization.

393427224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 393427224 is about 19834.9999747920. Note that the first 4 decimals coincide. The cubic root of 393427224 is about 732.7482718312.

The spelling of 393427224 in words is "three hundred ninety-three million, four hundred twenty-seven thousand, two hundred twenty-four".