4204227456 has 512 divisors, whose sum is σ = 14970009600. Its totient is φ = 1144627200.

The previous prime is 4204227437. The next prime is 4204227457. The reversal of 4204227456 is 6547224024.

4204227456 is a `hidden beast` number, since 420 + 4 + 227 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4204227456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204227457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23227686 + ... + 23227866.

It is an arithmetic number, because the mean of its divisors is an integer number (29238300).

Almost surely, 2^4204227456 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 4204227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485004800).

4204227456 is an abundant number, since it is smaller than the sum of its proper divisors (10765782144).

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

4204227456 is a wasteful number, since it uses less digits than its factorization.

4204227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4204227456 is about 64840.0143121514. The cubic root of 4204227456 is about 1613.9697897912.

The spelling of 4204227456 in words is "four billion, two hundred four million, two hundred twenty-seven thousand, four hundred fifty-six".