413500 has 24 divisors (see below), whose sum is σ = 904176. Its totient is φ = 165200.

The previous prime is 413477. The next prime is 413521. The reversal of 413500 is 5314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (37674).

2⁴¹³⁵⁰⁰ 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 413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452088).

413500 is an abundant number, since it is smaller than the sum of its proper divisors (490676).

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

413500 is a wasteful number, since it uses less digits than its factorization.

413500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 413500 is about 643.0396566309. The cubic root of 413500 is about 74.5003828637.

Adding to 413500 its reverse (5314), we get a palindrome (418814).

The spelling of 413500 in words is "four hundred thirteen thousand, five hundred".