325441600 has 189 divisors, whose sum is σ = 902198983. Its totient is φ = 115456000.

The previous prime is 325441573. The next prime is 325441601. The reversal of 325441600 is 6144523.

The square root of 325441600 is 18040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 136983616 + 188457984 = 11704^2 + 13728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (325441601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7937580 + ... + 7937620.

Almost surely, 2^325441600 is an apocalyptic number.

325441600 is the 18040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325441600

325441600 is an abundant number, since it is smaller than the sum of its proper divisors (576757383).

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

325441600 is a wasteful number, since it uses less digits than its factorization.

325441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 325441600 is about 687.8456928142.

Multiplying 325441600 by its sum of digits (25), we get a square (8136040000 = 90200²).

325441600 divided by its sum of digits (25) gives a square (13017664 = 3608²).

It can be divided in two parts, 325441 and 600, that added together give a square (326041 = 571²).

The spelling of 325441600 in words is "three hundred twenty-five million, four hundred forty-one thousand, six hundred".