4456442772 has 120 divisors (see below), whose sum is σ = 12074832000. Its totient is φ = 1432214784.

The previous prime is 4456442759. The next prime is 4456442801. The reversal of 4456442772 is 2772446544.

4456442772 is a `hidden beast` number, since 44 + 564 + 42 + 7 + 7 + 2 = 666.

It is a super-2 number, since 2×4456442772² = 39719764360222087968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1098604 + ... + 1102652.

It is an arithmetic number, because the mean of its divisors is an integer number (100623600).

Almost surely, 2^4456442772 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 4456442772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037416000).

4456442772 is an abundant number, since it is smaller than the sum of its proper divisors (7618389228).

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

4456442772 is a wasteful number, since it uses less digits than its factorization.

4456442772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4176 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 45.

The square root of 4456442772 is about 66756.5934721058. The cubic root of 4456442772 is about 1645.6195745113.

The spelling of 4456442772 in words is "four billion, four hundred fifty-six million, four hundred forty-two thousand, seven hundred seventy-two".