411264 has 128 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 110592.

The previous prime is 411259. The next prime is 411287. The reversal of 411264 is 462114.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 411264.

It is an unprimeable number.

411264 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 15 ways as a sum of consecutive naturals, for example, 24184 + ... + 24200.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2⁴¹¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

411264 is an abundant number, since it is smaller than the sum of its proper divisors (1057536).

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

411264 is a wasteful number, since it uses less digits than its factorization.

411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

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

The square root of 411264 is about 641.2986823626. The cubic root of 411264 is about 74.3658532169.

Adding to 411264 its reverse (462114), we get a palindrome (873378).

The spelling of 411264 in words is "four hundred eleven thousand, two hundred sixty-four".