438085152 has 96 divisors (see below), whose sum is σ = 1281792960. Its totient is φ = 145566720.

The previous prime is 438085139. The next prime is 438085159. The reversal of 438085152 is 251580834.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (438085159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373527 + ... + 374697.

It is an arithmetic number, because the mean of its divisors is an integer number (13352010).

Almost surely, 2^438085152 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 438085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640896480).

438085152 is an abundant number, since it is smaller than the sum of its proper divisors (843707808).

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

438085152 is a wasteful number, since it uses less digits than its factorization.

438085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 438085152 is about 20930.4837975619. The cubic root of 438085152 is about 759.4855428771.

The spelling of 438085152 in words is "four hundred thirty-eight million, eighty-five thousand, one hundred fifty-two".