438507 has 16 divisors (see below), whose sum is σ = 660000. Its totient is φ = 287712.

The previous prime is 438499. The next prime is 438517. The reversal of 438507 is 705834.

It is not a de Polignac number, because 438507 - 2³ = 438499 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (438517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (41250).

2⁴³⁸⁵⁰⁷ is an apocalyptic number.

438507 is a deficient number, since it is larger than the sum of its proper divisors (221493).

438507 is a wasteful number, since it uses less digits than its factorization.

438507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

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

The square root of 438507 is about 662.1986106902. The cubic root of 438507 is about 75.9729243349.

The spelling of 438507 in words is "four hundred thirty-eight thousand, five hundred seven".