6438948 has 48 divisors (see below), whose sum is σ = 16343040. Its totient is φ = 1965600.

The previous prime is 6438931. The next prime is 6438959. The reversal of 6438948 is 8498346.

It is a d-powerful number, because it can be written as 6⁸ + 4³ + 3⁵ + 8³ + 9⁶ + 4¹¹ + 8⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6613 + ... + 7523.

It is an arithmetic number, because the mean of its divisors is an integer number (340480).

Almost surely, 2^6438948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171520).

6438948 is an abundant number, since it is smaller than the sum of its proper divisors (9904092).

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

6438948 is a wasteful number, since it uses less digits than its factorization.

6438948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 6438948 is about 2537.5082265876. The cubic root of 6438948 is about 186.0394181690.

It can be divided in two parts, 643 and 8948, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 6438948 in words is "six million, four hundred thirty-eight thousand, nine hundred forty-eight".