413244 has 36 divisors (see below), whose sum is σ = 1126216. Its totient is φ = 127008.

The previous prime is 413243. The next prime is 413251. The reversal of 413244 is 442314.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27 + ... + 909.

2⁴¹³²⁴⁴ 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 413244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563108).

413244 is an abundant number, since it is smaller than the sum of its proper divisors (712972).

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

413244 is a wasteful number, since it uses less digits than its factorization.

413244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 901 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 413244 is about 642.8405712150. The cubic root of 413244 is about 74.4850051650.

Adding to 413244 its reverse (442314), we get a palindrome (855558).

It can be divided in two parts, 41324 and 4, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 413244 in words is "four hundred thirteen thousand, two hundred forty-four".