438657 has 8 divisors (see below), whose sum is σ = 593184. Its totient is φ = 288288.

The previous prime is 438637. The next prime is 438661. The reversal of 438657 is 756834.

438657 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 438657 - 2⁸ = 438401 is a prime.

438657 is a modest number, since divided by 657 gives 438 as remainder.

438657 is strictly pandigital in base 7.

438657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (438637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (74148).

2⁴³⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

438657 is a deficient number, since it is larger than the sum of its proper divisors (154527).

438657 is a wasteful number, since it uses less digits than its factorization.

438657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079.

The product of its digits is 20160, while the sum is 33.

The square root of 438657 is about 662.3118600780. The cubic root of 438657 is about 75.9815860282.

The spelling of 438657 in words is "four hundred thirty-eight thousand, six hundred fifty-seven".