413440 has 72 divisors (see below), whose sum is σ = 1103760.
Its totient is φ = 147456.
The previous prime is 413429. The next prime is 413443. The reversal of 413440 is 44314.
Adding to 413440 its reverse (44314), we get a palindrome (457754).
It can be divided in two parts, 41 and 3440, that added together give a square (3481 = 592).
413440 = 132 + 142 + ... + 1072.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (413443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21751 + ... + 21769.
It is an arithmetic number, because the mean of its divisors is an integer number (15330).
2413440 is an apocalyptic number.
413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880).
413440 is an abundant number, since it is smaller than the sum of its proper divisors (690320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413440 is a wasteful number, since it uses less digits than its factorization.
413440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57 (or 43 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 413440 is about 642.9930015171.
The cubic root of 413440 is about 74.4967792851.
The spelling of 413440 in words is "four hundred thirteen thousand, four hundred forty".