408681 has 24 divisors (see below), whose sum is σ = 728000. Its totient is φ = 215136.

The previous prime is 408677. The next prime is 408689. The reversal of 408681 is 186804.

It is not a de Polignac number, because 408681 - 2² = 408677 is a prime.

It is a super-2 number, since 2×408681² = 334040319522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570 + ... + 1068.

2⁴⁰⁸⁶⁸¹ is an apocalyptic number.

It is an amenable number.

408681 is a deficient number, since it is larger than the sum of its proper divisors (319319).

408681 is a wasteful number, since it uses less digits than its factorization.

408681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 408681 is about 639.2816280795. The cubic root of 408681 is about 74.2098378181.

It can be divided in two parts, 408 and 681, that added together give a square (1089 = 33²).

The spelling of 408681 in words is "four hundred eight thousand, six hundred eighty-one".