352824 has 32 divisors (see below), whose sum is σ = 900240. Its totient is φ = 115200.

The previous prime is 352819. The next prime is 352831. The reversal of 352824 is 428253.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 352794 and 352803.

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 352824.

It is an unprimeable number.

352824 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 7 ways as a sum of consecutive naturals, for example, 1344 + ... + 1584.

352824 is a Friedman number, since it can be written as 8*((42*5)^2+3), using all its digits and the basic arithmetic operations.

2³⁵²⁸²⁴ 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 352824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450120).

352824 is an abundant number, since it is smaller than the sum of its proper divisors (547416).

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

352824 is a wasteful number, since it uses less digits than its factorization.

352824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 352824 is about 593.9898989040. The cubic root of 352824 is about 70.6620186018.

It can be divided in two parts, 352 and 824, that added together give a triangular number (1176 = T₄₈).

The spelling of 352824 in words is "three hundred fifty-two thousand, eight hundred twenty-four".