413444 has 12 divisors (see below), whose sum is σ = 741468. Its totient is φ = 201600.

The previous prime is 413443. The next prime is 413461. The reversal of 413444 is 444314.

It can be written as a sum of positive squares in 2 ways, for example, as 6400 + 407044 = 80^2 + 638^2 .

It is a super-2 number, since 2×413444² = 341871882272, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413444.

It is not an unprimeable number, because it can be changed into a prime (413443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1097 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (61789).

2⁴¹³⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

413444 is a deficient number, since it is larger than the sum of its proper divisors (328024).

413444 is a wasteful number, since it uses less digits than its factorization.

413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2564 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 413444 is about 642.9961119634. The cubic root of 413444 is about 74.4970195345.

Adding to 413444 its reverse (444314), we get a palindrome (857758).

The spelling of 413444 in words is "four hundred thirteen thousand, four hundred forty-four".