438241440 has 384 divisors, whose sum is σ = 1734082560. Its totient is φ = 90574848.

The previous prime is 438241409. The next prime is 438241469. The reversal of 438241440 is 44142834.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 438241398 and 438241407.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3450657 + ... + 3450783.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2^438241440 is an apocalyptic number.

438241440 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 438241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867041280).

438241440 is an abundant number, since it is smaller than the sum of its proper divisors (1295841120).

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

438241440 is a wasteful number, since it uses less digits than its factorization.

438241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 438241440 is about 20934.2169664881. The cubic root of 438241440 is about 759.5758482766.

The spelling of 438241440 in words is "four hundred thirty-eight million, two hundred forty-one thousand, four hundred forty".