325080900 has 81 divisors (see below), whose sum is σ = 1020646263. Its totient is φ = 86544000.

The previous prime is 325080883. The next prime is 325080913. The reversal of 325080900 is 9080523.

The square root of 325080900 is 18030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 307791936 = 4158^2 + 17544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 540600 + ... + 541200.

Almost surely, 2^325080900 is an apocalyptic number.

325080900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

325080900 is the 18030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325080900

325080900 is an abundant number, since it is smaller than the sum of its proper divisors (695565363).

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

325080900 is a wasteful number, since it uses less digits than its factorization.

325080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 325080900 is about 687.5914765331.

It can be divided in two parts, 3 and 25080900, that added together give a triangular number (25080903 = T₇₀₈₂).

The spelling of 325080900 in words is "three hundred twenty-five million, eighty thousand, nine hundred".