447282000 has 400 divisors, whose sum is σ = 1769511744. Its totient is φ = 108000000.

The previous prime is 447281987. The next prime is 447282007. The reversal of 447282000 is 282744.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×447282000² = 400122375048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447282007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1781875 + ... + 1782125.

Almost surely, 2^447282000 is an apocalyptic number.

447282000 is a gapful number since it is divisible by the number (40) 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 447282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884755872).

447282000 is an abundant number, since it is smaller than the sum of its proper divisors (1322229744).

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

447282000 is a wasteful number, since it uses less digits than its factorization.

447282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 447282000 is about 21149.0425315190. The cubic root of 447282000 is about 764.7634793605.

The spelling of 447282000 in words is "four hundred forty-seven million, two hundred eighty-two thousand".