325987200 has 768 divisors, whose sum is σ = 1517760000. Its totient is φ = 67737600.

The previous prime is 325987147. The next prime is 325987217. The reversal of 325987200 is 2789523.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29635195 + ... + 29635205.

It is an arithmetic number, because the mean of its divisors is an integer number (1976250).

Almost surely, 2^325987200 is an apocalyptic number.

325987200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880000).

325987200 is an abundant number, since it is smaller than the sum of its proper divisors (1191772800).

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

325987200 is a wasteful number, since it uses less digits than its factorization.

325987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 325987200 is about 18055.1156185719. The cubic root of 325987200 is about 688.2298673045.

The spelling of 325987200 in words is "three hundred twenty-five million, nine hundred eighty-seven thousand, two hundred".