406755 has 32 divisors (see below), whose sum is σ = 760320. Its totient is φ = 205920.

The previous prime is 406739. The next prime is 406789. The reversal of 406755 is 557604.

It is not a de Polignac number, because 406755 - 2⁴ = 406739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406755.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2⁴⁰⁶⁷⁵⁵ is an apocalyptic number.

406755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406755 is a deficient number, since it is larger than the sum of its proper divisors (353565).

406755 is a wasteful number, since it uses less digits than its factorization.

406755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 406755 is about 637.7734707559. The cubic root of 406755 is about 74.0930774237.

The spelling of 406755 in words is "four hundred six thousand, seven hundred fifty-five".