325454438400 has 672 divisors, whose sum is σ = 1324662799488. Its totient is φ = 68655513600.

The previous prime is 325454438381. The next prime is 325454438431. The reversal of 325454438400 is 4834454523.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55907490 + ... + 55913310.

It is an arithmetic number, because the mean of its divisors is an integer number (1971224404).

Almost surely, 2^325454438400 is an apocalyptic number.

325454438400 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 325454438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662331399744).

325454438400 is an abundant number, since it is smaller than the sum of its proper divisors (999208361088).

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

325454438400 is a wasteful number, since it uses less digits than its factorization.

325454438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 325454438400 in words is "three hundred twenty-five billion, four hundred fifty-four million, four hundred thirty-eight thousand, four hundred".