320509044 has 72 divisors (see below), whose sum is σ = 841145760. Its totient is φ = 102779712.

The previous prime is 320509037. The next prime is 320509051. The reversal of 320509044 is 440905023.

It is an interprime number because it is at equal distance from previous prime (320509037) and next prime (320509051).

It is a junction number, because it is equal to n+sod(n) for n = 320508999 and 320509017.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 545719 + ... + 546305.

It is an arithmetic number, because the mean of its divisors is an integer number (11682580).

Almost surely, 2^320509044 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 320509044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420572880).

320509044 is an abundant number, since it is smaller than the sum of its proper divisors (520636716).

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

320509044 is a wasteful number, since it uses less digits than its factorization.

320509044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 320509044 is about 17902.7663784120. The cubic root of 320509044 is about 684.3528752715.

The spelling of 320509044 in words is "three hundred twenty million, five hundred nine thousand, forty-four".