4927226304 has 448 divisors, whose sum is σ = 18090196992. Its totient is φ = 1141862400.

The previous prime is 4927226303. The next prime is 4927226329. The reversal of 4927226304 is 4036227294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4927226303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957539 + ... + 5958365.

It is an arithmetic number, because the mean of its divisors is an integer number (40379904).

Almost surely, 2^4927226304 is an apocalyptic number.

4927226304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4927226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045098496).

4927226304 is an abundant number, since it is smaller than the sum of its proper divisors (13162970688).

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

4927226304 is a wasteful number, since it uses less digits than its factorization.

4927226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4927226304 is about 70194.2042051906. The cubic root of 4927226304 is about 1701.6392842682.

The spelling of 4927226304 in words is "four billion, nine hundred twenty-seven million, two hundred twenty-six thousand, three hundred four".