406761 has 8 divisors (see below), whose sum is σ = 555744. Its totient is φ = 264480.

The previous prime is 406739. The next prime is 406789. The reversal of 406761 is 167604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 406761 - 2⁵ = 406729 is a prime.

It is a super-2 number, since 2×406761² = 330909022242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531 + ... + 1776.

It is an arithmetic number, because the mean of its divisors is an integer number (69468).

2⁴⁰⁶⁷⁶¹ is an apocalyptic number.

406761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

406761 is a deficient number, since it is larger than the sum of its proper divisors (148983).

406761 is a wasteful number, since it uses less digits than its factorization.

406761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 406761 is about 637.7781746031. The cubic root of 406761 is about 74.0934417350.

The spelling of 406761 in words is "four hundred six thousand, seven hundred sixty-one".