438074544384 has 81 divisors (see below), whose sum is σ = 1263168515973. Its totient is φ = 146014258176.

The previous prime is 438074544371. The next prime is 438074544403. The reversal of 438074544384 is 483445470834.

The square root of 438074544384 is 661872.

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

438074544384 is a `hidden beast` number, since 4 + 3 + 80 + 7 + 45 + 443 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 425458761984 + 12615782400 = 652272^2 + 112320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 438074544384.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31762962 + ... + 31776750.

Almost surely, 2^438074544384 is an apocalyptic number.

438074544384 is the 661872-nd square number.

It is an amenable number.

438074544384 is an abundant number, since it is smaller than the sum of its proper divisors (825093971589).

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

438074544384 is an frugal number, since it uses more digits than its factorization.

438074544384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27600 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 438074544384 in words is "four hundred thirty-eight billion, seventy-four million, five hundred forty-four thousand, three hundred eighty-four".