325814400 has 288 divisors, whose sum is σ = 1208516400. Its totient is φ = 86676480.

The previous prime is 325814393. The next prime is 325814417. The reversal of 325814400 is 4418523.

325814400 is a `hidden beast` number, since 3 + 258 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777391 + ... + 777809.

Almost surely, 2^325814400 is an apocalyptic number.

325814400 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 325814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604258200).

325814400 is an abundant number, since it is smaller than the sum of its proper divisors (882702000).

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

325814400 is an equidigital number, since it uses as much as digits as its factorization.

325814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 325814400 is about 18050.3296368792. The cubic root of 325814400 is about 688.1082396856.

The spelling of 325814400 in words is "three hundred twenty-five million, eight hundred fourteen thousand, four hundred".