406553 has 6 divisors (see below), whose sum is σ = 472986. Its totient is φ = 348432.

The previous prime is 406547. The next prime is 406559. The reversal of 406553 is 355604.

It is an interprime number because it is at equal distance from previous prime (406547) and next prime (406559).

It can be written as a sum of positive squares in only one way, i.e., 405769 + 784 = 637^2 + 28^2 .

It is not a de Polignac number, because 406553 - 2¹⁰ = 405529 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (406559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4100 + ... + 4197.

It is an arithmetic number, because the mean of its divisors is an integer number (78831).

2⁴⁰⁶⁵⁵³ is an apocalyptic number.

It is an amenable number.

406553 is a deficient number, since it is larger than the sum of its proper divisors (66433).

406553 is an equidigital number, since it uses as much as digits as its factorization.

406553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 406553 is about 637.6150876508. The cubic root of 406553 is about 74.0808101868.

It can be divided in two parts, 406 and 553, that added together give a palindrome (959).

The spelling of 406553 in words is "four hundred six thousand, five hundred fifty-three".