410240 has 32 divisors (see below), whose sum is σ = 982260. Its totient is φ = 163840.

The previous prime is 410239. The next prime is 410243. The reversal of 410240 is 42014.

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 10816 = 632^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (410243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 320 + ... + 960.

2⁴¹⁰²⁴⁰ is an apocalyptic number.

410240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 640×641.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491130).

410240 is an abundant number, since it is smaller than the sum of its proper divisors (572020).

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

410240 is an equidigital number, since it uses as much as digits as its factorization.

410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 410240 is about 640.4998048399. The cubic root of 410240 is about 74.3040811164.

Adding to 410240 its reverse (42014), we get a palindrome (452254).

The spelling of 410240 in words is "four hundred ten thousand, two hundred forty", and thus it is an iban number.