438221952 has 192 divisors, whose sum is σ = 1488514560. Its totient is φ = 121098240.

The previous prime is 438221951. The next prime is 438222091. The reversal of 438221952 is 259122834.

It is a happy number.

438221952 is a `hidden beast` number, since 438 + 2 + 219 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (438221951) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249108 + ... + 250860.

It is an arithmetic number, because the mean of its divisors is an integer number (7752680).

Almost surely, 2^438221952 is an apocalyptic number.

438221952 is a gapful number since it is divisible by the number (42) 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 438221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744257280).

438221952 is an abundant number, since it is smaller than the sum of its proper divisors (1050292608).

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

438221952 is a wasteful number, since it uses less digits than its factorization.

438221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1796 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 438221952 is about 20933.7515032543. The cubic root of 438221952 is about 759.5645890085.

The spelling of 438221952 in words is "four hundred thirty-eight million, two hundred twenty-one thousand, nine hundred fifty-two".