4594876416 has 480 divisors, whose sum is σ = 15853985280. Its totient is φ = 1302331392.

The previous prime is 4594876411. The next prime is 4594876439. The reversal of 4594876416 is 6146784954.

4594876416 is a `hidden beast` number, since 4 + 594 + 8 + 7 + 6 + 41 + 6 = 666.

It is a super-3 number, since 3×4594876416³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4594876411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97763305 + ... + 97763351.

It is an arithmetic number, because the mean of its divisors is an integer number (33029136).

Almost surely, 2^4594876416 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 4594876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926992640).

4594876416 is an abundant number, since it is smaller than the sum of its proper divisors (11259108864).

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

4594876416 is a wasteful number, since it uses less digits than its factorization.

4594876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4594876416 is about 67785.5177453119. The cubic root of 4594876416 is about 1662.4858020232.

The spelling of 4594876416 in words is "four billion, five hundred ninety-four million, eight hundred seventy-six thousand, four hundred sixteen".