447953000 has 128 divisors (see below), whose sum is σ = 1154874240. Its totient is φ = 161280000.

The previous prime is 447952997. The next prime is 447953021. The reversal of 447953000 is 359744.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2122895 + ... + 2123105.

It is an arithmetic number, because the mean of its divisors is an integer number (9022455).

Almost surely, 2^447953000 is an apocalyptic number.

447953000 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 447953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577437120).

447953000 is an abundant number, since it is smaller than the sum of its proper divisors (706921240).

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

447953000 is a wasteful number, since it uses less digits than its factorization.

447953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 447953000 is about 21164.9001887559. The cubic root of 447953000 is about 765.1457139096.

The spelling of 447953000 in words is "four hundred forty-seven million, nine hundred fifty-three thousand".