445981872 has 160 divisors (see below), whose sum is σ = 1389625344. Its totient is φ = 120556800.

The previous prime is 445981867. The next prime is 445981897. The reversal of 445981872 is 278189544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 489097 + ... + 490007.

Almost surely, 2^445981872 is an apocalyptic number.

445981872 is a gapful number since it is divisible by the number (42) 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 445981872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694812672).

445981872 is an abundant number, since it is smaller than the sum of its proper divisors (943643472).

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

445981872 is a wasteful number, since it uses less digits than its factorization.

445981872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 445981872 is about 21118.2828847423. The cubic root of 445981872 is about 764.0217732709.

The spelling of 445981872 in words is "four hundred forty-five million, nine hundred eighty-one thousand, eight hundred seventy-two".