411648 has 48 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 135168.

The previous prime is 411641. The next prime is 411667. The reversal of 411648 is 846114.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 3 ways as a sum of consecutive naturals, for example, 6111 + ... + 6177.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2⁴¹¹⁶⁴⁸ is an apocalyptic number.

411648 is a gapful number since it is divisible by the number (48) 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 411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

411648 is an abundant number, since it is smaller than the sum of its proper divisors (702192).

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

411648 is an equidigital number, since it uses as much as digits as its factorization.

411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 411648 is about 641.5980049844. The cubic root of 411648 is about 74.3889913183.

The spelling of 411648 in words is "four hundred eleven thousand, six hundred forty-eight".