445756416 has 176 divisors, whose sum is σ = 1430607360. Its totient is φ = 120545280.

The previous prime is 445756393. The next prime is 445756417. The reversal of 445756416 is 614657544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445756417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408031 + ... + 409121.

Almost surely, 2^445756416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715303680).

445756416 is an abundant number, since it is smaller than the sum of its proper divisors (984850944).

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

445756416 is a wasteful number, since it uses less digits than its factorization.

445756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 445756416 is about 21112.9442759649. The cubic root of 445756416 is about 763.8930069554.

The spelling of 445756416 in words is "four hundred forty-five million, seven hundred fifty-six thousand, four hundred sixteen".