4506826500 has 576 divisors, whose sum is σ = 16731187200. Its totient is φ = 1045440000.

The previous prime is 4506826487. The next prime is 4506826501. The reversal of 4506826500 is 56286054.

It is a super-2 number, since 2×4506826500² = 40622970202204500000, which contains 22 as substring.

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 (4506826501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50638456 + ... + 50638544.

It is an arithmetic number, because the mean of its divisors is an integer number (29047200).

Almost surely, 2^4506826500 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 4506826500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365593600).

4506826500 is an abundant number, since it is smaller than the sum of its proper divisors (12224360700).

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

4506826500 is a wasteful number, since it uses less digits than its factorization.

4506826500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4506826500 is about 67132.9017695496. The cubic root of 4506826500 is about 1651.7980399261.

The spelling of 4506826500 in words is "four billion, five hundred six million, eight hundred twenty-six thousand, five hundred".