393228864 has 448 divisors, whose sum is σ = 1463040000. Its totient is φ = 101025792.

The previous prime is 393228839. The next prime is 393228911. The reversal of 393228864 is 468822393.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6664867 + ... + 6664925.

Almost surely, 2^393228864 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 393228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520000).

393228864 is an abundant number, since it is smaller than the sum of its proper divisors (1069811136).

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

393228864 is a wasteful number, since it uses less digits than its factorization.

393228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 393228864 is about 19829.9990922844. Note that the first 3 decimals coincide. The cubic root of 393228864 is about 732.6251042985.

The spelling of 393228864 in words is "three hundred ninety-three million, two hundred twenty-eight thousand, eight hundred sixty-four".