447914896 has 135 divisors (see below), whose sum is σ = 1061594163. Its totient is φ = 182856960.

The previous prime is 447914881. The next prime is 447914923. The reversal of 447914896 is 698419744.

The square root of 447914896 is 21164.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 446054400 = 1364^2 + 21120^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (63).

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, 12105790 + ... + 12105826.

Almost surely, 2^447914896 is an apocalyptic number.

447914896 is the 21164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447914896

447914896 is an abundant number, since it is smaller than the sum of its proper divisors (613679267).

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

447914896 is a wasteful number, since it uses less digits than its factorization.

447914896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 63 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The cubic root of 447914896 is about 765.1240182265.

The spelling of 447914896 in words is "four hundred forty-seven million, nine hundred fourteen thousand, eight hundred ninety-six".