4981834800 has 240 divisors, whose sum is σ = 17959168000. Its totient is φ = 1311448320.

The previous prime is 4981834787. The next prime is 4981834801. The reversal of 4981834800 is 84381894.

4981834800 is a `hidden beast` number, since 4 + 98 + 1 + 83 + 480 + 0 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (4981834801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850281 + ... + 856119.

Almost surely, 2^4981834800 is an apocalyptic number.

4981834800 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 4981834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979584000).

4981834800 is an abundant number, since it is smaller than the sum of its proper divisors (12977333200).

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

4981834800 is a wasteful number, since it uses less digits than its factorization.

4981834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4981834800 is about 70582.1138816343. The cubic root of 4981834800 is about 1707.9026301609.

The spelling of 4981834800 in words is "four billion, nine hundred eighty-one million, eight hundred thirty-four thousand, eight hundred".