411688 has 8 divisors (see below), whose sum is σ = 771930. Its totient is φ = 205840.

The previous prime is 411683. The next prime is 411703. The reversal of 411688 is 886114.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 49284 = 602^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (411683) by changing a digit.

411688 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 as a sum of consecutive naturals, namely, 25723 + ... + 25738.

2⁴¹¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

411688 is a deficient number, since it is larger than the sum of its proper divisors (360242).

411688 is a wasteful number, since it uses less digits than its factorization.

411688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51467 (or 51463 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 411688 is about 641.6291763940. The cubic root of 411688 is about 74.3914007096.

The spelling of 411688 in words is "four hundred eleven thousand, six hundred eighty-eight".