4778452224 has 576 divisors, whose sum is σ = 17801441280. Its totient is φ = 1230888960.

The previous prime is 4778452219. The next prime is 4778452241. The reversal of 4778452224 is 4222548774.

4778452224 is a `hidden beast` number, since 47 + 7 + 84 + 522 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 4778452224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44658379 + ... + 44658485.

It is an arithmetic number, because the mean of its divisors is an integer number (30905280).

Almost surely, 2^4778452224 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 4778452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900720640).

4778452224 is an abundant number, since it is smaller than the sum of its proper divisors (13022989056).

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

4778452224 is a wasteful number, since it uses less digits than its factorization.

4778452224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 45.

The square root of 4778452224 is about 69126.3497083420. The cubic root of 4778452224 is about 1684.3373637415.

The spelling of 4778452224 in words is "four billion, seven hundred seventy-eight million, four hundred fifty-two thousand, two hundred twenty-four".