396576 has 84 divisors (see below), whose sum is σ = 1239462. Its totient is φ = 124416.

The previous prime is 396563. The next prime is 396577. The reversal of 396576 is 675693.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 104976 = 540^2 + 324^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁹ + 9³ + 5⁷ + 6⁴ + 7⁵ + 6⁷ .

Its product of digits (34020) is a multiple of the sum of its prime factors (45).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 396576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396577) by changing a digit.

396576 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 13 ways as a sum of consecutive naturals, for example, 23320 + ... + 23336.

396576 is a Friedman number, since it can be written as 6^6*(9-5/(7+3)), using all its digits and the basic arithmetic operations.

2³⁹⁶⁵⁷⁶ is an apocalyptic number.

396576 is a gapful number since it is divisible by the number (36) 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 396576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619731).

396576 is an abundant number, since it is smaller than the sum of its proper divisors (842886).

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

396576 is an equidigital number, since it uses as much as digits as its factorization.

396576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 22 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 396576 is about 629.7428046433. The cubic root of 396576 is about 73.4697918345.

The spelling of 396576 in words is "three hundred ninety-six thousand, five hundred seventy-six".