396528 has 40 divisors (see below), whose sum is σ = 1118976. Its totient is φ = 120000.

The previous prime is 396527. The next prime is 396533. The reversal of 396528 is 825693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396523) 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, 153 + ... + 903.

2³⁹⁶⁵²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559488).

396528 is an abundant number, since it is smaller than the sum of its proper divisors (722448).

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

396528 is a wasteful number, since it uses less digits than its factorization.

396528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 396528 is about 629.7046926933. The cubic root of 396528 is about 73.4668275500.

Subtracting from 396528 its sum of digits (33), we obtain a triangular number (396495 = T₈₉₀).

Adding to 396528 its reverse (825693), we get a palindrome (1222221).

It can be divided in two parts, 3965 and 28, that added together give a palindrome (3993).

The spelling of 396528 in words is "three hundred ninety-six thousand, five hundred twenty-eight".