438651168 has 48 divisors (see below), whose sum is σ = 1156589280. Its totient is φ = 145565696.

The previous prime is 438651167. The next prime is 438651217. The reversal of 438651168 is 861156834.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (438651163) 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, 11728 + ... + 31856.

It is an arithmetic number, because the mean of its divisors is an integer number (24095610).

Almost surely, 2^438651168 is an apocalyptic number.

438651168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438651168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578294640).

438651168 is an abundant number, since it is smaller than the sum of its proper divisors (717938112).

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

438651168 is a wasteful number, since it uses less digits than its factorization.

438651168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369 (or 20361 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 438651168 is about 20944.0007639419. Note that the first 3 decimals coincide. The cubic root of 438651168 is about 759.8124929850.

The spelling of 438651168 in words is "four hundred thirty-eight million, six hundred fifty-one thousand, one hundred sixty-eight".