4952458224 has 720 divisors, whose sum is σ = 18755362080. Its totient is φ = 1207664640.

The previous prime is 4952458211. The next prime is 4952458237. The reversal of 4952458224 is 4228542594.

4952458224 is a `hidden beast` number, since 49 + 5 + 2 + 4 + 582 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (4952458211) and next prime (4952458237).

It is a self number, because there is not a number n which added to its sum of digits gives 4952458224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93442582 + ... + 93442634.

It is an arithmetic number, because the mean of its divisors is an integer number (26049114).

Almost surely, 2^4952458224 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 4952458224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377681040).

4952458224 is an abundant number, since it is smaller than the sum of its proper divisors (13802903856).

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

4952458224 is a wasteful number, since it uses less digits than its factorization.

4952458224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 4952458224 is about 70373.7040662206. The cubic root of 4952458224 is about 1704.5389916970.

The spelling of 4952458224 in words is "four billion, nine hundred fifty-two million, four hundred fifty-eight thousand, two hundred twenty-four".