447245136 has 120 divisors (see below), whose sum is σ = 1356720456. Its totient is φ = 136719360.

The previous prime is 447245101. The next prime is 447245171. The reversal of 447245136 is 631542744.

It is an interprime number because it is at equal distance from previous prime (447245101) and next prime (447245171).

It can be written as a sum of positive squares in 4 ways, for example, as 72590400 + 374654736 = 8520^2 + 19356^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 447245136.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 323166 + ... + 324546.

Almost surely, 2^447245136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447245136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678360228).

447245136 is an abundant number, since it is smaller than the sum of its proper divisors (909475320).

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

447245136 is a wasteful number, since it uses less digits than its factorization.

447245136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1572 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 447245136 is about 21148.1709847448. The cubic root of 447245136 is about 764.7424687412.

The spelling of 447245136 in words is "four hundred forty-seven million, two hundred forty-five thousand, one hundred thirty-six".