320434972 has 96 divisors (see below), whose sum is σ = 720728064. Its totient is φ = 122342400.

The previous prime is 320434963. The next prime is 320434973. The reversal of 320434972 is 279434023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320434973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300913 + ... + 301975.

It is an arithmetic number, because the mean of its divisors is an integer number (7507584).

Almost surely, 2^320434972 is an apocalyptic number.

It is an amenable number.

320434972 is an abundant number, since it is smaller than the sum of its proper divisors (400293092).

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

320434972 is a wasteful number, since it uses less digits than its factorization.

320434972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 320434972 is about 17900.6975283088. The cubic root of 320434972 is about 684.3001515469.

Adding to 320434972 its reverse (279434023), we get a palindrome (599868995).

The spelling of 320434972 in words is "three hundred twenty million, four hundred thirty-four thousand, nine hundred seventy-two".