4522493952 has 288 divisors, whose sum is σ = 14281394400. Its totient is φ = 1413808128.

The previous prime is 4522493951. The next prime is 4522493959. The reversal of 4522493952 is 2593942254.

4522493952 is a `hidden beast` number, since 4 + 522 + 49 + 39 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4522493898 and 4522493907.

It is not an unprimeable number, because it can be changed into a prime (4522493951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15980403 + ... + 15980685.

It is an arithmetic number, because the mean of its divisors is an integer number (49588175).

Almost surely, 2^4522493952 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 4522493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140697200).

4522493952 is an abundant number, since it is smaller than the sum of its proper divisors (9758900448).

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

4522493952 is a wasteful number, since it uses less digits than its factorization.

4522493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 305 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 4522493952 is about 67249.4903475112. The cubic root of 4522493952 is about 1653.7099199978.

The spelling of 4522493952 in words is "four billion, five hundred twenty-two million, four hundred ninety-three thousand, nine hundred fifty-two".