40352 has 24 divisors (see below), whose sum is σ = 86436. Its totient is φ = 18432.

The previous prime is 40351. The next prime is 40357. The reversal of 40352 is 25304.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 1936 = 196^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (40351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368 + ... + 464.

2⁴⁰³⁵² 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 40352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43218).

40352 is an abundant number, since it is smaller than the sum of its proper divisors (46084).

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

40352 is a wasteful number, since it uses less digits than its factorization.

40352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 40352 is about 200.8780724718. The cubic root of 40352 is about 34.2995446848.

Adding to 40352 its reverse (25304), we get a palindrome (65656).

The spelling of 40352 in words is "forty thousand, three hundred fifty-two".