411664 has 20 divisors (see below), whose sum is σ = 870480. Its totient is φ = 187040.

The previous prime is 411641. The next prime is 411667. The reversal of 411664 is 466114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (411667) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 994 + ... + 1345.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

2⁴¹¹⁶⁶⁴ is an apocalyptic number.

411664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

411664 is an abundant number, since it is smaller than the sum of its proper divisors (458816).

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

411664 is a wasteful number, since it uses less digits than its factorization.

411664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 411664 is about 641.6104737300. The cubic root of 411664 is about 74.3899550936.

Adding to 411664 its reverse (466114), we get a palindrome (877778).

It can be divided in two parts, 4 and 11664, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 411664 in words is "four hundred eleven thousand, six hundred sixty-four".