4451785920 has 280 divisors, whose sum is σ = 16768962144. Its totient is φ = 1117200384.

The previous prime is 4451785913. The next prime is 4451785927. The reversal of 4451785920 is 295871544.

4451785920 is a `hidden beast` number, since 4 + 4 + 51 + 7 + 8 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4451785913) and next prime (4451785927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4451785927) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 435589 + ... + 445691.

Almost surely, 2^4451785920 is an apocalyptic number.

4451785920 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 4451785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384481072).

4451785920 is an abundant number, since it is smaller than the sum of its proper divisors (12317176224).

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

4451785920 is a wasteful number, since it uses less digits than its factorization.

4451785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4451785920 is about 66721.7050141856. The cubic root of 4451785920 is about 1645.0461666690.

The spelling of 4451785920 in words is "four billion, four hundred fifty-one million, seven hundred eighty-five thousand, nine hundred twenty".