445233040 has 80 divisors (see below), whose sum is σ = 1188316800. Its totient is φ = 151971840.

The previous prime is 445233037. The next prime is 445233071. The reversal of 445233040 is 40332544.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 445232996 and 445233014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133311 + ... + 136609.

It is an arithmetic number, because the mean of its divisors is an integer number (14853960).

Almost surely, 2^445233040 is an apocalyptic number.

445233040 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 445233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594158400).

445233040 is an abundant number, since it is smaller than the sum of its proper divisors (743083760).

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

445233040 is a wasteful number, since it uses less digits than its factorization.

445233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 445233040 is about 21100.5459645005. The cubic root of 445233040 is about 763.5939199594.

Adding to 445233040 its reverse (40332544), we get a palindrome (485565584).

The spelling of 445233040 in words is "four hundred forty-five million, two hundred thirty-three thousand, forty".