406756 has 24 divisors (see below), whose sum is σ = 828800. Its totient is φ = 171072.

The previous prime is 406739. The next prime is 406789. The reversal of 406756 is 657604.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 2143.

2⁴⁰⁶⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

406756 is an abundant number, since it is smaller than the sum of its proper divisors (422044).

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

406756 is a wasteful number, since it uses less digits than its factorization.

406756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 406756 is about 637.7742547328. The cubic root of 406756 is about 74.0931381425.

It can be divided in two parts, 406 and 756, that multiplied together give a triangular number (306936 = T₇₈₃).

The spelling of 406756 in words is "four hundred six thousand, seven hundred fifty-six".