447344352 has 288 divisors, whose sum is σ = 1590563520. Its totient is φ = 116812800.

The previous prime is 447344333. The next prime is 447344363. The reversal of 447344352 is 253443744.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (161280) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4429102 + ... + 4429202.

It is an arithmetic number, because the mean of its divisors is an integer number (5522790).

Almost surely, 2^447344352 is an apocalyptic number.

447344352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795281760).

447344352 is an abundant number, since it is smaller than the sum of its proper divisors (1143219168).

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

447344352 is a wasteful number, since it uses less digits than its factorization.

447344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 126 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 447344352 is about 21150.5165894358. The cubic root of 447344352 is about 764.7990142258.

The spelling of 447344352 in words is "four hundred forty-seven million, three hundred forty-four thousand, three hundred fifty-two".