447384401424 has 135 divisors (see below), whose sum is σ = 1264280147949. Its totient is φ = 147686054400.

The previous prime is 447384401407. The next prime is 447384401461. The reversal of 447384401424 is 424104483744.

The square root of 447384401424 is 668868.

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

447384401424 is a `hidden beast` number, since 44 + 73 + 84 + 40 + 1 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 442932843024 + 4451558400 = 665532^2 + 66720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 447384401424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1115671624 + ... + 1115672024.

Almost surely, 2^447384401424 is an apocalyptic number.

447384401424 is the 668868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447384401424

447384401424 is an abundant number, since it is smaller than the sum of its proper divisors (816895746525).

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

447384401424 is an equidigital number, since it uses as much as digits as its factorization.

447384401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 447384401424 in words is "four hundred forty-seven billion, three hundred eighty-four million, four hundred one thousand, four hundred twenty-four".