438413 has 12 divisors (see below), whose sum is σ = 489972. Its totient is φ = 391680.

The previous prime is 438409. The next prime is 438419. The reversal of 438413 is 314834.

It can be written as a sum of positive squares in 6 ways, for example, as 24964 + 413449 = 158^2 + 643^2 .

It is not a de Polignac number, because 438413 - 2² = 438409 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10673 + ... + 10713.

It is an arithmetic number, because the mean of its divisors is an integer number (40831).

2⁴³⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

438413 is a deficient number, since it is larger than the sum of its proper divisors (51559).

438413 is a wasteful number, since it uses less digits than its factorization.

438413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 438413 is about 662.1276312011. The cubic root of 438413 is about 75.9674953336.

The spelling of 438413 in words is "four hundred thirty-eight thousand, four hundred thirteen".