407853 has 6 divisors (see below), whose sum is σ = 589134. Its totient is φ = 271896.

The previous prime is 407843. The next prime is 407857. The reversal of 407853 is 358704.

It can be written as a sum of positive squares in only one way, i.e., 328329 + 79524 = 573^2 + 282^2 .

It is not a de Polignac number, because 407853 - 2⁵ = 407821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407857) 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, 22650 + ... + 22667.

It is an arithmetic number, because the mean of its divisors is an integer number (98189).

2⁴⁰⁷⁸⁵³ is an apocalyptic number.

It is an amenable number.

407853 is a deficient number, since it is larger than the sum of its proper divisors (181281).

407853 is a wasteful number, since it uses less digits than its factorization.

407853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45323 (or 45320 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 407853 is about 638.6336978269. The cubic root of 407853 is about 74.1596868125.

The spelling of 407853 in words is "four hundred seven thousand, eight hundred fifty-three".