320049072 has 240 divisors, whose sum is σ = 1142069760. Its totient is φ = 81451008.

The previous prime is 320049061. The next prime is 320049077. The reversal of 320049072 is 270940023.

It is a super-2 number, since 2×320049072² = 204862816976122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320049077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325093 + ... + 326075.

It is an arithmetic number, because the mean of its divisors is an integer number (4758624).

Almost surely, 2^320049072 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 320049072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571034880).

320049072 is an abundant number, since it is smaller than the sum of its proper divisors (822020688).

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

320049072 is a wasteful number, since it uses less digits than its factorization.

320049072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 320049072 is about 17889.9153715159. The cubic root of 320049072 is about 684.0253401918.

Adding to 320049072 its reverse (270940023), we get a palindrome (590989095).

The spelling of 320049072 in words is "three hundred twenty million, forty-nine thousand, seventy-two".