447028000 has 192 divisors, whose sum is σ = 1183133952. Its totient is φ = 165580800.

The previous prime is 447027949. The next prime is 447028003. The reversal of 447028000 is 820744.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447028003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3955944 + ... + 3956056.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2^447028000 is an apocalyptic number.

447028000 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 447028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591566976).

447028000 is an abundant number, since it is smaller than the sum of its proper divisors (736105952).

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

447028000 is a wasteful number, since it uses less digits than its factorization.

447028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 447028000 is about 21143.0366787744. The cubic root of 447028000 is about 764.6186887473.

Adding to 447028000 its reverse (820744), we get a palindrome (447848744).

The spelling of 447028000 in words is "four hundred forty-seven million, twenty-eight thousand".