447957000 has 256 divisors, whose sum is σ = 1590451200. Its totient is φ = 116582400.

The previous prime is 447956941. The next prime is 447957019. The reversal of 447957000 is 759744.

It is a happy number.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1268824 + ... + 1269176.

It is an arithmetic number, because the mean of its divisors is an integer number (6212700).

Almost surely, 2^447957000 is an apocalyptic number.

447957000 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 447957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795225600).

447957000 is an abundant number, since it is smaller than the sum of its proper divisors (1142494200).

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

447957000 is a wasteful number, since it uses less digits than its factorization.

447957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 447957000 is about 21164.9946846202. The cubic root of 447957000 is about 765.1479913611.

The spelling of 447957000 in words is "four hundred forty-seven million, nine hundred fifty-seven thousand".