325152000 has 216 divisors, whose sum is σ = 1171028040. Its totient is φ = 86630400.

The previous prime is 325151993. The next prime is 325152007. The reversal of 325152000 is 251523.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (325151993) and next prime (325152007).

It can be written as a sum of positive squares in 4 ways, for example, as 63489024 + 261662976 = 7968^2 + 16176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287436 + ... + 288564.

Almost surely, 2^325152000 is an apocalyptic number.

325152000 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 325152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585514020).

325152000 is an abundant number, since it is smaller than the sum of its proper divisors (845876040).

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

325152000 is a wasteful number, since it uses less digits than its factorization.

325152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 325152000 is about 18031.9716060114. The cubic root of 325152000 is about 687.6416016868.

The spelling of 325152000 in words is "three hundred twenty-five million, one hundred fifty-two thousand".