438119136 has 288 divisors, whose sum is σ = 1561210560. Its totient is φ = 113467392.

The previous prime is 438119117. The next prime is 438119161. The reversal of 438119136 is 631911834.

438119136 is a `hidden beast` number, since 438 + 1 + 191 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 438119136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913070 + ... + 1913298.

It is an arithmetic number, because the mean of its divisors is an integer number (5420870).

Almost surely, 2^438119136 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 438119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780605280).

438119136 is an abundant number, since it is smaller than the sum of its proper divisors (1123091424).

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

438119136 is a wasteful number, since it uses less digits than its factorization.

438119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 438119136 is about 20931.2956120733. The cubic root of 438119136 is about 759.5051811363.

The spelling of 438119136 in words is "four hundred thirty-eight million, one hundred nineteen thousand, one hundred thirty-six".