438738 has 16 divisors (see below), whose sum is σ = 889056. Its totient is φ = 144320.

The previous prime is 438733. The next prime is 438761. The reversal of 438738 is 837834.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 438699 and 438708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438738.

It is not an unprimeable number, because it can be changed into a prime (438733) 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, 58 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

2⁴³⁸⁷³⁸ is an apocalyptic number.

438738 is an abundant number, since it is smaller than the sum of its proper divisors (450318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

438738 is a wasteful number, since it uses less digits than its factorization.

438738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969.

The product of its digits is 16128, while the sum is 33.

The square root of 438738 is about 662.3730066964. The cubic root of 438738 is about 75.9862625216.

It can be divided in two parts, 438 and 738, that added together give a triangular number (1176 = T₄₈).

The spelling of 438738 in words is "four hundred thirty-eight thousand, seven hundred thirty-eight".