327408 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 103104.

The previous prime is 327407. The next prime is 327409. The reversal of 327408 is 804723.

327408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (327407) and next prime (327409).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2³²⁷⁴⁰⁸ is an apocalyptic number.

327408 is a gapful number since it is divisible by the number (38) 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 327408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

327408 is an abundant number, since it is smaller than the sum of its proper divisors (565392).

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

327408 is a wasteful number, since it uses less digits than its factorization.

327408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 327408 is about 572.1957706939. The cubic root of 327408 is about 68.9228290767.

The spelling of 327408 in words is "three hundred twenty-seven thousand, four hundred eight".