413100 has 108 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 103680.

The previous prime is 413093. The next prime is 413111. The reversal of 413100 is 1314.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×413100² = 341303220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413100.

It is an unprimeable number.

413100 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 35 ways as a sum of consecutive naturals, for example, 24292 + ... + 24308.

2⁴¹³¹⁰⁰ 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 413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

413100 is an abundant number, since it is smaller than the sum of its proper divisors (1008684).

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

413100 is a wasteful number, since it uses less digits than its factorization.

413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 413100 is about 642.7285585689. The cubic root of 413100 is about 74.4763524184.

Adding to 413100 its reverse (1314), we get a palindrome (414414).

The spelling of 413100 in words is "four hundred thirteen thousand, one hundred".