393704064 has 320 divisors, whose sum is σ = 1327011840. Its totient is φ = 114960384.

The previous prime is 393704053. The next prime is 393704081. The reversal of 393704064 is 460407393.

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 39 ways as a sum of consecutive naturals, for example, 3099969 + ... + 3100095.

It is an arithmetic number, because the mean of its divisors is an integer number (4146912).

Almost surely, 2^393704064 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 393704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663505920).

393704064 is an abundant number, since it is smaller than the sum of its proper divisors (933307776).

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

393704064 is a wasteful number, since it uses less digits than its factorization.

393704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 393704064 is about 19841.9773208216. The cubic root of 393704064 is about 732.9201007045.

It can be divided in two parts, 39370 and 4064, that added together give a palindrome (43434).

The spelling of 393704064 in words is "three hundred ninety-three million, seven hundred four thousand, sixty-four".