438641280 has 768 divisors, whose sum is σ = 2016368640. Its totient is φ = 85155840.

The previous prime is 438641279. The next prime is 438641297. The reversal of 438641280 is 82146834.

438641280 is a `hidden beast` number, since 4 + 3 + 8 + 641 + 2 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10200939 + ... + 10200981.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2^438641280 is an apocalyptic number.

438641280 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 438641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008184320).

438641280 is an abundant number, since it is smaller than the sum of its proper divisors (1577727360).

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

438641280 is a wasteful number, since it uses less digits than its factorization.

438641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 438641280 is about 20943.7647045606. The cubic root of 438641280 is about 759.8067837541.

The spelling of 438641280 in words is "four hundred thirty-eight million, six hundred forty-one thousand, two hundred eighty".