445051440 has 120 divisors (see below), whose sum is σ = 1573344240. Its totient is φ = 112430592.

The previous prime is 445051417. The next prime is 445051499. The reversal of 445051440 is 44150544.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587 + ... + 29946.

It is an arithmetic number, because the mean of its divisors is an integer number (13111202).

Almost surely, 2^445051440 is an apocalyptic number.

445051440 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 445051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786672120).

445051440 is an abundant number, since it is smaller than the sum of its proper divisors (1128292800).

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

445051440 is a wasteful number, since it uses less digits than its factorization.

445051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32571 (or 32562 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 445051440 is about 21096.2423194274. The cubic root of 445051440 is about 763.4900885566.

The spelling of 445051440 in words is "four hundred forty-five million, fifty-one thousand, four hundred forty".