413352 has 24 divisors (see below), whose sum is σ = 1119690. Its totient is φ = 137760.

The previous prime is 413299. The next prime is 413353. The reversal of 413352 is 253314.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 60516 = 594^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (413353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2799 + ... + 2942.

2⁴¹³³⁵² is an apocalyptic number.

It is an amenable number.

413352 is an abundant number, since it is smaller than the sum of its proper divisors (706338).

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

413352 is a wasteful number, since it uses less digits than its factorization.

413352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5746 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 413352 is about 642.9245678927. The cubic root of 413352 is about 74.4914934059.

Adding to 413352 its reverse (253314), we get a palindrome (666666).

The spelling of 413352 in words is "four hundred thirteen thousand, three hundred fifty-two".