406753 has 4 divisors (see below), whose sum is σ = 409860. Its totient is φ = 403648.

The previous prime is 406739. The next prime is 406789. The reversal of 406753 is 357604.

406753 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 321489 = 292^2 + 567^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-406753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1348 + ... + 1621.

It is an arithmetic number, because the mean of its divisors is an integer number (102465).

2⁴⁰⁶⁷⁵³ is an apocalyptic number.

It is an amenable number.

406753 is a deficient number, since it is larger than the sum of its proper divisors (3107).

406753 is a wasteful number, since it uses less digits than its factorization.

406753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 406753 is about 637.7719027991. The cubic root of 406753 is about 74.0929559859.

The spelling of 406753 in words is "four hundred six thousand, seven hundred fifty-three".