406760 has 16 divisors (see below), whose sum is σ = 915300. Its totient is φ = 162688.

The previous prime is 406739. The next prime is 406789. The reversal of 406760 is 67604.

It can be written as a sum of positive squares in 2 ways, for example, as 391876 + 14884 = 626^2 + 122^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5045 + ... + 5124.

2⁴⁰⁶⁷⁶⁰ is an apocalyptic number.

406760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406760 is an abundant number, since it is smaller than the sum of its proper divisors (508540).

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

406760 is a wasteful number, since it uses less digits than its factorization.

406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 406760 is about 637.7773906309. Note that the first 3 decimals coincide. The cubic root of 406760 is about 74.0933810167.

It can be divided in two parts, 40 and 6760, that multiplied together give a square (270400 = 520²).

The spelling of 406760 in words is "four hundred six thousand, seven hundred sixty".