438221760 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 110026752.

The previous prime is 438221689. The next prime is 438221761. The reversal of 438221760 is 67122834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438221761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965009 + ... + 1965231.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^438221760 is an apocalyptic number.

438221760 is a gapful number since it is divisible by the number (40) 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 438221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

438221760 is an abundant number, since it is smaller than the sum of its proper divisors (1036522560).

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

438221760 is a wasteful number, since it uses less digits than its factorization.

438221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 438221760 is about 20933.7469173581. The cubic root of 438221760 is about 759.5644780781.

The spelling of 438221760 in words is "four hundred thirty-eight million, two hundred twenty-one thousand, seven hundred sixty".