393487264 has 48 divisors (see below), whose sum is σ = 830904480. Its totient is φ = 182856960.

The previous prime is 393487249. The next prime is 393487273. The reversal of 393487264 is 462784393.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26119 + ... + 38329.

It is an arithmetic number, because the mean of its divisors is an integer number (17310510).

Almost surely, 2^393487264 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 393487264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415452240).

393487264 is an abundant number, since it is smaller than the sum of its proper divisors (437417216).

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

393487264 is a wasteful number, since it uses less digits than its factorization.

393487264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12293 (or 12285 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 393487264 is about 19836.5134033176. The cubic root of 393487264 is about 732.7855442633.

The spelling of 393487264 in words is "three hundred ninety-three million, four hundred eighty-seven thousand, two hundred sixty-four".