327713400 has 288 divisors, whose sum is σ = 1299916800. Its totient is φ = 72403200.

The previous prime is 327713383. The next prime is 327713401. The reversal of 327713400 is 4317723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327713401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 390181 + ... + 391019.

It is an arithmetic number, because the mean of its divisors is an integer number (4513600).

Almost surely, 2^327713400 is an apocalyptic number.

327713400 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 327713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

327713400 is an abundant number, since it is smaller than the sum of its proper divisors (972203400).

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

327713400 is a wasteful number, since it uses less digits than its factorization.

327713400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 327713400 is about 18102.8561282467. The cubic root of 327713400 is about 689.4425238811.

The spelling of 327713400 in words is "three hundred twenty-seven million, seven hundred thirteen thousand, four hundred".