396390 has 32 divisors (see below), whose sum is σ = 969696. Its totient is φ = 103680.

The previous prime is 396379. The next prime is 396413. The reversal of 396390 is 93693.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

396390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100 + ... + 2280.

It is an arithmetic number, because the mean of its divisors is an integer number (30303).

2³⁹⁶³⁹⁰ is an apocalyptic number.

396390 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 396390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484848).

396390 is an abundant number, since it is smaller than the sum of its proper divisors (573306).

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

396390 is a wasteful number, since it uses less digits than its factorization.

396390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 396390 is about 629.5951079861. The cubic root of 396390 is about 73.4583038992.

The spelling of 396390 in words is "three hundred ninety-six thousand, three hundred ninety".