325151200 has 108 divisors (see below), whose sum is σ = 872756640. Its totient is φ = 118201600.

The previous prime is 325151179. The next prime is 325151221. The reversal of 325151200 is 2151523.

It is an interprime number because it is at equal distance from previous prime (325151179) and next prime (325151221).

It is a super-2 number, since 2×325151200² = 211446605722880000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 95121 + ... + 98479.

It is an arithmetic number, because the mean of its divisors is an integer number (8081080).

Almost surely, 2^325151200 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 325151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436378320).

325151200 is an abundant number, since it is smaller than the sum of its proper divisors (547605440).

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

325151200 is a wasteful number, since it uses less digits than its factorization.

325151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 325151200 is about 18031.9494231766. The cubic root of 325151200 is about 687.6410377314.

It can be divided in two parts, 325 and 151200, that added together give a triangular number (151525 = T₅₅₀).

The spelling of 325151200 in words is "three hundred twenty-five million, one hundred fifty-one thousand, two hundred".