445616640 has 400 divisors, whose sum is σ = 1830007872. Its totient is φ = 101523456.

The previous prime is 445616629. The next prime is 445616653. The reversal of 445616640 is 46616544.

445616640 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 445616595 and 445616604.

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 39 ways as a sum of consecutive naturals, for example, 1451367 + ... + 1451673.

Almost surely, 2^445616640 is an apocalyptic number.

445616640 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 445616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915003936).

445616640 is an abundant number, since it is smaller than the sum of its proper divisors (1384391232).

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

445616640 is an equidigital number, since it uses as much as digits as its factorization.

445616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 445616640 is about 21109.6338196568. The cubic root of 445616640 is about 763.8131538731.

The spelling of 445616640 in words is "four hundred forty-five million, six hundred sixteen thousand, six hundred forty".