4892823600 has 240 divisors, whose sum is σ = 17960398080. Its totient is φ = 1115366400.

The previous prime is 4892823587. The next prime is 4892823641. The reversal of 4892823600 is 63282984.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5199130 + ... + 5200070.

It is an arithmetic number, because the mean of its divisors is an integer number (74834992).

Almost surely, 2^4892823600 is an apocalyptic number.

4892823600 is a gapful number since it is divisible by the number (40) 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 4892823600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980199040).

4892823600 is an abundant number, since it is smaller than the sum of its proper divisors (13067574480).

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

4892823600 is a wasteful number, since it uses less digits than its factorization.

4892823600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4892823600 is about 69948.7212177607. The cubic root of 4892823600 is about 1697.6696559501.

The spelling of 4892823600 in words is "four billion, eight hundred ninety-two million, eight hundred twenty-three thousand, six hundred".