406881 has 12 divisors (see below), whose sum is σ = 599508. Its totient is φ = 265824.

The previous prime is 406873. The next prime is 406883. The reversal of 406881 is 188604.

It can be written as a sum of positive squares in 2 ways, for example, as 140625 + 266256 = 375^2 + 516^2 .

It is not a de Polignac number, because 406881 - 2³ = 406873 is a prime.

It is a super-2 number, since 2×406881² = 331104296322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (406883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (49959).

2⁴⁰⁶⁸⁸¹ is an apocalyptic number.

It is an amenable number.

406881 is a deficient number, since it is larger than the sum of its proper divisors (192627).

406881 is a wasteful number, since it uses less digits than its factorization.

406881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 909 counting only the distinct ones).

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

The square root of 406881 is about 637.8722442621. The cubic root of 406881 is about 74.1007272080.

The spelling of 406881 in words is "four hundred six thousand, eight hundred eighty-one".