447021120 has 672 divisors, whose sum is σ = 1926384768. Its totient is φ = 86704128.

The previous prime is 447021083. The next prime is 447021173. The reversal of 447021120 is 21120744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10395819 + ... + 10395861.

It is an arithmetic number, because the mean of its divisors is an integer number (2866644).

Almost surely, 2^447021120 is an apocalyptic number.

447021120 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 447021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963192384).

447021120 is an abundant number, since it is smaller than the sum of its proper divisors (1479363648).

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

447021120 is a wasteful number, since it uses less digits than its factorization.

447021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 447021120 is about 21142.8739768273. The cubic root of 447021120 is about 764.6147660970.

Adding to 447021120 its reverse (21120744), we get a palindrome (468141864).

The spelling of 447021120 in words is "four hundred forty-seven million, twenty-one thousand, one hundred twenty".