320453120 has 80 divisors (see below), whose sum is σ = 827525160. Its totient is φ = 118308864.

The previous prime is 320453113. The next prime is 320453129. The reversal of 320453120 is 21354023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 289272064 + 31181056 = 17008^2 + 5584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320453092 and 320453101.

It is not an unprimeable number, because it can be changed into a prime (320453129) 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, 28466 + ... + 38094.

Almost surely, 2^320453120 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 320453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413762580).

320453120 is an abundant number, since it is smaller than the sum of its proper divisors (507072040).

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

320453120 is an equidigital number, since it uses as much as digits as its factorization.

320453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 320453120 is about 17901.2044287528. The cubic root of 320453120 is about 684.3130698671.

The spelling of 320453120 in words is "three hundred twenty million, four hundred fifty-three thousand, one hundred twenty".