328410 has 48 divisors (see below), whose sum is σ = 884520. Its totient is φ = 84480.

The previous prime is 328397. The next prime is 328411. The reversal of 328410 is 14823.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 123201 + 205209 = 351^2 + 453^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁶ + 2¹⁵ + 4⁹ + 8⁵ + 1 + 0 .

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 328410.

It is not an unprimeable number, because it can be changed into a prime (328411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3646 + ... + 3734.

2³²⁸⁴¹⁰ is an apocalyptic number.

328410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

328410 is an abundant number, since it is smaller than the sum of its proper divisors (556110).

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

328410 is a wasteful number, since it uses less digits than its factorization.

328410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 328410 is about 573.0706762695. The cubic root of 328410 is about 68.9930679867.

The spelling of 328410 in words is "three hundred twenty-eight thousand, four hundred ten".