4254583104 has 224 divisors, whose sum is σ = 12840289280. Its totient is φ = 1381017600.

The previous prime is 4254583103. The next prime is 4254583141. The reversal of 4254583104 is 4013854524.

It is a happy number.

4254583104 is a `hidden beast` number, since 4 + 2 + 545 + 8 + 3 + 104 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254583103) 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 31 ways as a sum of consecutive naturals, for example, 19078737 + ... + 19078959.

It is an arithmetic number, because the mean of its divisors is an integer number (57322720).

Almost surely, 2^4254583104 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 4254583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420144640).

4254583104 is an abundant number, since it is smaller than the sum of its proper divisors (8585706176).

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

4254583104 is a wasteful number, since it uses less digits than its factorization.

4254583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4254583104 is about 65227.1653837571. The cubic root of 4254583104 is about 1620.3879454991.

The spelling of 4254583104 in words is "four billion, two hundred fifty-four million, five hundred eighty-three thousand, one hundred four".