438085368 has 256 divisors, whose sum is σ = 1467648000. Its totient is φ = 118444032.

The previous prime is 438085367. The next prime is 438085381. The reversal of 438085368 is 863580834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438085363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4253205 + ... + 4253307.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2^438085368 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 438085368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

438085368 is an abundant number, since it is smaller than the sum of its proper divisors (1029562632).

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

438085368 is a wasteful number, since it uses less digits than its factorization.

438085368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 438085368 is about 20930.4889574993. The cubic root of 438085368 is about 759.4856676997.

The spelling of 438085368 in words is "four hundred thirty-eight million, eighty-five thousand, three hundred sixty-eight".