320415456 has 72 divisors (see below), whose sum is σ = 893554200. Its totient is φ = 100513792.

The previous prime is 320415401. The next prime is 320415467. The reversal of 320415456 is 654514023.

320415456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21970 + ... + 33518.

It is an arithmetic number, because the mean of its divisors is an integer number (12410475).

Almost surely, 2^320415456 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 320415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446777100).

320415456 is an abundant number, since it is smaller than the sum of its proper divisors (573138744).

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

320415456 is a wasteful number, since it uses less digits than its factorization.

320415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 320415456 is about 17900.1524015859. The cubic root of 320415456 is about 684.2862588967.

Adding to 320415456 its reverse (654514023), we get a palindrome (974929479).

The spelling of 320415456 in words is "three hundred twenty million, four hundred fifteen thousand, four hundred fifty-six".