4982814800 has 120 divisors (see below), whose sum is σ = 12509567640. Its totient is φ = 1904896000.

The previous prime is 4982814799. The next prime is 4982814817. The reversal of 4982814800 is 84182894.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 976937536 + 4005877264 = 31256^2 + 63292^2 .

It is a super-3 number, since 3×4982814800³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1169474 + ... + 1173726.

It is an arithmetic number, because the mean of its divisors is an integer number (104246397).

Almost surely, 2^4982814800 is an apocalyptic number.

4982814800 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 4982814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254783820).

4982814800 is an abundant number, since it is smaller than the sum of its proper divisors (7526752840).

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

4982814800 is a wasteful number, since it uses less digits than its factorization.

4982814800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 4982814800 is about 70589.0558089567. The cubic root of 4982814800 is about 1708.0146126537.

The spelling of 4982814800 in words is "four billion, nine hundred eighty-two million, eight hundred fourteen thousand, eight hundred".