393064452 has 72 divisors (see below), whose sum is σ = 1092323232. Its totient is φ = 118185600.

The previous prime is 393064387. The next prime is 393064459. The reversal of 393064452 is 254460393.

393064452 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 644 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (393064459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48088 + ... + 55664.

It is an arithmetic number, because the mean of its divisors is an integer number (15171156).

Almost surely, 2^393064452 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 393064452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546161616).

393064452 is an abundant number, since it is smaller than the sum of its proper divisors (699258780).

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

393064452 is a wasteful number, since it uses less digits than its factorization.

393064452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 393064452 is about 19825.8531216188. The cubic root of 393064452 is about 732.5229846756.

The spelling of 393064452 in words is "three hundred ninety-three million, sixty-four thousand, four hundred fifty-two".