445671072 has 540 divisors, whose sum is σ = 1733698890. Its totient is φ = 111767040.

The previous prime is 445671071. The next prime is 445671077. The reversal of 445671072 is 270176544.

It can be written as a sum of positive squares in only one way, i.e., 376515216 + 69155856 = 19404^2 + 8316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445671071) 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 89 ways as a sum of consecutive naturals, for example, 15367954 + ... + 15367982.

Almost surely, 2^445671072 is an apocalyptic number.

445671072 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 445671072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866849445).

445671072 is an abundant number, since it is smaller than the sum of its proper divisors (1288027818).

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

445671072 is a wasteful number, since it uses less digits than its factorization.

445671072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 445671072 is about 21110.9230494548. The cubic root of 445671072 is about 763.8442524911.

The spelling of 445671072 in words is "four hundred forty-five million, six hundred seventy-one thousand, seventy-two".