320540900 has 36 divisors (see below), whose sum is σ = 696681972. Its totient is φ = 128012160.

The previous prime is 320540897. The next prime is 320540939. The reversal of 320540900 is 9045023.

It can be written as a sum of positive squares in 6 ways, for example, as 14500864 + 306040036 = 3808^2 + 17494^2 .

It is a super-3 number, since 3×320540900³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71114 + ... + 75486.

It is an arithmetic number, because the mean of its divisors is an integer number (19352277).

Almost surely, 2^320540900 is an apocalyptic number.

It is an amenable number.

320540900 is an abundant number, since it is smaller than the sum of its proper divisors (376141072).

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

320540900 is a wasteful number, since it uses less digits than its factorization.

320540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 320540900 is about 17903.6560512092. The cubic root of 320540900 is about 684.3755475625.

Adding to 320540900 its reverse (9045023), we get a palindrome (329585923).

The spelling of 320540900 in words is "three hundred twenty million, five hundred forty thousand, nine hundred".