413300 has 18 divisors (see below), whose sum is σ = 897078. Its totient is φ = 165280.

The previous prime is 413299. The next prime is 413353. The reversal of 413300 is 3314.

It can be written as a sum of positive squares in 3 ways, for example, as 55696 + 357604 = 236^2 + 598^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1967 + ... + 2166.

2⁴¹³³⁰⁰ is an apocalyptic number.

It is an amenable number.

413300 is an abundant number, since it is smaller than the sum of its proper divisors (483778).

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

413300 is a wasteful number, since it uses less digits than its factorization.

413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 413300 is about 642.8841264178. The cubic root of 413300 is about 74.4883695791.

Adding to 413300 its reverse (3314), we get a palindrome (416614).

The spelling of 413300 in words is "four hundred thirteen thousand, three hundred".