411840 has 168 divisors, whose sum is σ = 1664208. Its totient is φ = 92160.

The previous prime is 411833. The next prime is 411841. The reversal of 411840 is 48114.

It is a super-2 number, since 2×411840² = 339224371200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (411841) by changing a digit.

411840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31674 + ... + 31686.

It is an arithmetic number, because the mean of its divisors is an integer number (9906).

2⁴¹¹⁸⁴⁰ is an apocalyptic number.

411840 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 411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104).

411840 is an abundant number, since it is smaller than the sum of its proper divisors (1252368).

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

411840 is a wasteful number, since it uses less digits than its factorization.

411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 411840 is about 641.7476139418. The cubic root of 411840 is about 74.4005549733.

Adding to 411840 its reverse (48114), we get a palindrome (459954).

It can be divided in two parts, 41 and 1840, that added together give a palindrome (1881).

The spelling of 411840 in words is "four hundred eleven thousand, eight hundred forty".