438816096 has 96 divisors (see below), whose sum is σ = 1347292800. Its totient is φ = 138568320.

The previous prime is 438816073. The next prime is 438816113. The reversal of 438816096 is 690618834.

438816096 is a `hidden beast` number, since 4 + 38 + 8 + 1 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×438816096² = 385119132217362432, which contains 22 as substring.

It is a congruent number.

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, 3051 + ... + 29781.

It is an arithmetic number, because the mean of its divisors is an integer number (14034300).

Almost surely, 2^438816096 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 438816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673646400).

438816096 is an abundant number, since it is smaller than the sum of its proper divisors (908476704).

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

438816096 is a wasteful number, since it uses less digits than its factorization.

438816096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26769 (or 26755 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 438816096 is about 20947.9377505281. The cubic root of 438816096 is about 759.9077080911.

The spelling of 438816096 in words is "four hundred thirty-eight million, eight hundred sixteen thousand, ninety-six".