320412864 has 56 divisors (see below), whose sum is σ = 852586560. Its totient is φ = 106196224.

The previous prime is 320412863. The next prime is 320412899. The reversal of 320412864 is 468214023.

It is not an unprimeable number, because it can be changed into a prime (320412863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29707 + ... + 39029.

It is an arithmetic number, because the mean of its divisors is an integer number (15224760).

Almost surely, 2^320412864 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 320412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426293280).

320412864 is an abundant number, since it is smaller than the sum of its proper divisors (532173696).

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

320412864 is a wasteful number, since it uses less digits than its factorization.

320412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 320412864 is about 17900.0799998212. The cubic root of 320412864 is about 684.2844137144.

Adding to 320412864 its reverse (468214023), we get a palindrome (788626887).

The spelling of 320412864 in words is "three hundred twenty million, four hundred twelve thousand, eight hundred sixty-four".