406053 has 14 divisors (see below), whose sum is σ = 609894. Its totient is φ = 270216.

The previous prime is 406037. The next prime is 406067. The reversal of 406053 is 350604.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 263169 + 142884 = 513^2 + 378^2 .

It is not a de Polignac number, because 406053 - 2⁴ = 406037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406013) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 451 + ... + 1007.

2⁴⁰⁶⁰⁵³ is an apocalyptic number.

It is an amenable number.

406053 is a deficient number, since it is larger than the sum of its proper divisors (203841).

406053 is an frugal number, since it uses more digits than its factorization.

406053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 406053 is about 637.2228809451. Note that the first 3 decimals coincide. The cubic root of 406053 is about 74.0504282520.

Adding to 406053 its reverse (350604), we get a palindrome (756657).

The spelling of 406053 in words is "four hundred six thousand, fifty-three".