445845840 has 160 divisors (see below), whose sum is σ = 1515652992. Its totient is φ = 107520000.

The previous prime is 445845809. The next prime is 445845857. The reversal of 445845840 is 48548544.

It is a junction number, because it is equal to n+sod(n) for n = 445845792 and 445845801.

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 31 ways as a sum of consecutive naturals, for example, 741540 + ... + 742140.

Almost surely, 2^445845840 is an apocalyptic number.

445845840 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 445845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757826496).

445845840 is an abundant number, since it is smaller than the sum of its proper divisors (1069807152).

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

445845840 is a wasteful number, since it uses less digits than its factorization.

445845840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The square root of 445845840 is about 21115.0619227129. The cubic root of 445845840 is about 763.9440855253.

The spelling of 445845840 in words is "four hundred forty-five million, eight hundred forty-five thousand, eight hundred forty".