328440 has 128 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 67584.

The previous prime is 328439. The next prime is 328481. The reversal of 328440 is 44823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14269 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2³²⁸⁴⁴⁰ is an apocalyptic number.

328440 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 328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

328440 is an abundant number, since it is smaller than the sum of its proper divisors (915720).

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

328440 is a wasteful number, since it uses less digits than its factorization.

328440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 328440 is about 573.0968504537. The cubic root of 328440 is about 68.9951687439.

The spelling of 328440 in words is "three hundred twenty-eight thousand, four hundred forty".