410640 has 80 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 103936.

The previous prime is 410629. The next prime is 410651. The reversal of 410640 is 46014.

It is an interprime number because it is at equal distance from previous prime (410629) and next prime (410651).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is an unprimeable number.

410640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 6931 + ... + 6989.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2⁴¹⁰⁶⁴⁰ is an apocalyptic number.

410640 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 410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

410640 is an abundant number, since it is smaller than the sum of its proper divisors (928560).

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

410640 is a wasteful number, since it uses less digits than its factorization.

410640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 410640 is about 640.8119849066. The cubic root of 410640 is about 74.3282230640.

Adding to 410640 its reverse (46014), we get a palindrome (456654).

The spelling of 410640 in words is "four hundred ten thousand, six hundred forty".