411642 has 72 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 106920.

The previous prime is 411641. The next prime is 411667. The reversal of 411642 is 246114.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 411642.

It is not an unprimeable number, because it can be changed into a prime (411641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37417 + ... + 37427.

2⁴¹¹⁶⁴² is an apocalyptic number.

411642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 411642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

411642 is an abundant number, since it is smaller than the sum of its proper divisors (750246).

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

411642 is a wasteful number, since it uses less digits than its factorization.

411642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 411642 is about 641.5933291424. The cubic root of 411642 is about 74.3886298962.

Adding to 411642 its reverse (246114), we get a palindrome (657756).

It can be divided in two parts, 41164 and 2, that multiplied together give a palindrome (82328).

The spelling of 411642 in words is "four hundred eleven thousand, six hundred forty-two".