325769600 has 192 divisors, whose sum is σ = 892442880. Its totient is φ = 116736000.

The previous prime is 325769579. The next prime is 325769603. The reversal of 325769600 is 6967523.

It is a super-2 number, since 2×325769600² = 212251664568320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325769603) by changing a digit.

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, 1705505 + ... + 1705695.

It is an arithmetic number, because the mean of its divisors is an integer number (4648140).

Almost surely, 2^325769600 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 325769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446221440).

325769600 is an abundant number, since it is smaller than the sum of its proper divisors (566673280).

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

325769600 is a wasteful number, since it uses less digits than its factorization.

325769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 325769600 is about 18049.0886196506. The cubic root of 325769600 is about 688.0766995796.

The spelling of 325769600 in words is "three hundred twenty-five million, seven hundred sixty-nine thousand, six hundred".