4784212224 has 243 divisors, whose sum is σ = 15278694067. Its totient is φ = 1438694400.

The previous prime is 4784212219. The next prime is 4784212247. The reversal of 4784212224 is 4222124874.

The square root of 4784212224 is 69168.

It is a perfect power (a square), and thus also a powerful number.

4784212224 is a `hidden beast` number, since 4 + 7 + 8 + 421 + 2 + 224 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36520639 + ... + 36520769.

Almost surely, 2^4784212224 is an apocalyptic number.

4784212224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4784212224 is the 69168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4784212224

4784212224 is an abundant number, since it is smaller than the sum of its proper divisors (10494481843).

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

4784212224 is a wasteful number, since it uses less digits than its factorization.

4784212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The cubic root of 4784212224 is about 1685.0138650545.

Multiplying 4784212224 by its sum of digits (36), we get a square (172231640064 = 415008²).

4784212224 divided by its sum of digits (36) gives a square (132894784 = 11528²).

The spelling of 4784212224 in words is "four billion, seven hundred eighty-four million, two hundred twelve thousand, two hundred twenty-four".