320211456 has 80 divisors (see below), whose sum is σ = 903317184. Its totient is φ = 100450304.

The previous prime is 320211449. The next prime is 320211461. The reversal of 320211456 is 654112023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19981 + ... + 32243.

Almost surely, 2^320211456 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 320211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451658592).

320211456 is an abundant number, since it is smaller than the sum of its proper divisors (583105728).

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

320211456 is a wasteful number, since it uses less digits than its factorization.

320211456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12301 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 320211456 is about 17894.4532188050. The cubic root of 320211456 is about 684.1410057782.

Adding to 320211456 its reverse (654112023), we get a palindrome (974323479).

The spelling of 320211456 in words is "three hundred twenty million, two hundred eleven thousand, four hundred fifty-six".