445976928 has 144 divisors (see below), whose sum is σ = 1332991296. Its totient is φ = 146655360.

The previous prime is 445976899. The next prime is 445976933. The reversal of 445976928 is 829679544.

445976928 is a `hidden beast` number, since 44 + 597 + 6 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 645063 + ... + 645753.

It is an arithmetic number, because the mean of its divisors is an integer number (9256884).

Almost surely, 2^445976928 is an apocalyptic number.

445976928 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 445976928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666495648).

445976928 is an abundant number, since it is smaller than the sum of its proper divisors (887014368).

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

445976928 is an equidigital number, since it uses as much as digits as its factorization.

445976928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 445976928 is about 21118.1658294465. The cubic root of 445976928 is about 764.0189500339.

The spelling of 445976928 in words is "four hundred forty-five million, nine hundred seventy-six thousand, nine hundred twenty-eight".