447132672 has 264 divisors, whose sum is σ = 1532793600. Its totient is φ = 122830848.

The previous prime is 447132661. The next prime is 447132677. The reversal of 447132672 is 276231744.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447132677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870729 + ... + 1870967.

Almost surely, 2^447132672 is an apocalyptic number.

447132672 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 447132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766396800).

447132672 is an abundant number, since it is smaller than the sum of its proper divisors (1085660928).

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

447132672 is a wasteful number, since it uses less digits than its factorization.

447132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 447132672 is about 21145.5118642231. The cubic root of 447132672 is about 764.6783628031.

The spelling of 447132672 in words is "four hundred forty-seven million, one hundred thirty-two thousand, six hundred seventy-two".