438487649856 has 315 divisors, whose sum is σ = 1383329057187. Its totient is φ = 137310474240.

The previous prime is 438487649843. The next prime is 438487649879. The reversal of 438487649856 is 658946784834.

The square root of 438487649856 is 662184.

It is a perfect power (a square), and thus also a powerful number.

438487649856 is a `hidden beast` number, since 4 + 3 + 8 + 4 + 87 + 6 + 498 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15966849600 + 422520800256 = 126360^2 + 650016^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 810512946 + ... + 810513486.

Almost surely, 2^438487649856 is an apocalyptic number.

438487649856 is the 662184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438487649856

438487649856 is an abundant number, since it is smaller than the sum of its proper divisors (944841407331).

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

438487649856 is an frugal number, since it uses more digits than its factorization.

438487649856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 563 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 438487649856 in words is "four hundred thirty-eight billion, four hundred eighty-seven million, six hundred forty-nine thousand, eight hundred fifty-six".