325449446400 has 660 divisors, whose sum is σ = 1297908611692. Its totient is φ = 80103997440.

The previous prime is 325449446393. The next prime is 325449446401. The reversal of 325449446400 is 4644944523.

325449446400 is a `hidden beast` number, since 3 + 2 + 544 + 9 + 44 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 122041230336 + 203408216064 = 349344^2 + 451008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325449446401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26950764 + ... + 26962836.

Almost surely, 2^325449446400 is an apocalyptic number.

325449446400 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 325449446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648954305846).

325449446400 is an abundant number, since it is smaller than the sum of its proper divisors (972459165292).

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

325449446400 is a wasteful number, since it uses less digits than its factorization.

325449446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12128 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 325449446400 in words is "three hundred twenty-five billion, four hundred forty-nine million, four hundred forty-six thousand, four hundred".