325789808400 has 945 divisors, whose sum is σ = 1374225053733. Its totient is φ = 73973088000.

The previous prime is 325789808389. The next prime is 325789808419. The reversal of 325789808400 is 4808987523.

It is a happy number.

The square root of 325789808400 is 570780.

It is a perfect power (a square), and thus also a powerful number.

325789808400 is a `hidden beast` number, since 32 + 57 + 89 + 80 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117284331024 + 208505477376 = 342468^2 + 456624^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a super-2 number, since 2×325789808400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2157548325 + ... + 2157548475.

Almost surely, 2^325789808400 is an apocalyptic number.

325789808400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

325789808400 is the 570780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325789808400

325789808400 is an abundant number, since it is smaller than the sum of its proper divisors (1048435245333).

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

325789808400 is an equidigital number, since it uses as much as digits as its factorization.

325789808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 325789808400 in words is "three hundred twenty-five billion, seven hundred eighty-nine million, eight hundred eight thousand, four hundred".