404253 has 6 divisors (see below), whose sum is σ = 583934. Its totient is φ = 269496.

The previous prime is 404251. The next prime is 404267. The reversal of 404253 is 352404.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 131769 = 522^2 + 363^2 .

It is not a de Polignac number, because 404253 - 2¹ = 404251 is a prime.

It is a Duffinian number.

404253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404251) 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, 22450 + ... + 22467.

2⁴⁰⁴²⁵³ is an apocalyptic number.

It is an amenable number.

404253 is a deficient number, since it is larger than the sum of its proper divisors (179681).

404253 is a wasteful number, since it uses less digits than its factorization.

404253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44923 (or 44920 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 404253 is about 635.8089335642. The cubic root of 404253 is about 73.9408463230.

Adding to 404253 its reverse (352404), we get a palindrome (756657).

It can be divided in two parts, 4042 and 53, that added together give a triangular number (4095 = T₉₀).

The spelling of 404253 in words is "four hundred four thousand, two hundred fifty-three".