325584008400 has 360 divisors, whose sum is σ = 1224594612000. Its totient is φ = 73722270720.

The previous prime is 325584008383. The next prime is 325584008411. The reversal of 325584008400 is 4800485523.

It is a super-2 number, since 2×325584008400² (a number of 24 digits) 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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6265726 + ... + 6317474.

It is an arithmetic number, because the mean of its divisors is an integer number (3401651700).

Almost surely, 2^325584008400 is an apocalyptic number.

325584008400 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 325584008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612297306000).

325584008400 is an abundant number, since it is smaller than the sum of its proper divisors (899010603600).

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

325584008400 is a wasteful number, since it uses less digits than its factorization.

325584008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51891 (or 51873 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 325584008400 in words is "three hundred twenty-five billion, five hundred eighty-four million, eight thousand, four hundred".