438001047 has 16 divisors (see below), whose sum is σ = 707880960. Its totient is φ = 265455000.

The previous prime is 438001027. The next prime is 438001099. The reversal of 438001047 is 740100834.

It is not a de Polignac number, because 438001047 - 2¹⁴ = 437984663 is a prime.

It is a super-3 number, since 3×438001047³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 438001047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737079 + ... + 737672.

It is an arithmetic number, because the mean of its divisors is an integer number (44242560).

Almost surely, 2^438001047 is an apocalyptic number.

438001047 is a deficient number, since it is larger than the sum of its proper divisors (269879913).

438001047 is a wasteful number, since it uses less digits than its factorization.

438001047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474771 (or 1474765 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 438001047 is about 20928.4745502390. The cubic root of 438001047 is about 759.4369369386.

438001047 divided by its sum of digits (27) gives a palindrome (16222261).

The spelling of 438001047 in words is "four hundred thirty-eight million, one thousand, forty-seven".