447056928 has 192 divisors, whose sum is σ = 1390435200. Its totient is φ = 139345920.

The previous prime is 447056923. The next prime is 447056933. The reversal of 447056928 is 829650744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447056923) and next prime (447056933).

It is not an unprimeable number, because it can be changed into a prime (447056923) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1854888 + ... + 1855128.

It is an arithmetic number, because the mean of its divisors is an integer number (7241850).

Almost surely, 2^447056928 is an apocalyptic number.

447056928 is a gapful number since it is divisible by the number (48) 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 447056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

447056928 is an abundant number, since it is smaller than the sum of its proper divisors (943378272).

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

447056928 is a wasteful number, since it uses less digits than its factorization.

447056928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 447056928 is about 21143.7207700064. The cubic root of 447056928 is about 764.6351816831.

The spelling of 447056928 in words is "four hundred forty-seven million, fifty-six thousand, nine hundred twenty-eight".