4945881600 has 480 divisors, whose sum is σ = 19819356480. Its totient is φ = 1198080000.

The previous prime is 4945881599. The next prime is 4945881601. The reversal of 4945881600 is 61885494.

4945881600 is a `hidden beast` number, since 4 + 9 + 4 + 588 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4945881599) and next prime (4945881601).

It is a tau number, because it is divible by the number of its divisors (480).

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 (4945881601) by changing a digit.

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, 3800950 + ... + 3802250.

It is an arithmetic number, because the mean of its divisors is an integer number (41290326).

Almost surely, 2^4945881600 is an apocalyptic number.

4945881600 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 4945881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909678240).

4945881600 is an abundant number, since it is smaller than the sum of its proper divisors (14873474880).

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

4945881600 is a wasteful number, since it uses less digits than its factorization.

4945881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4945881600 is about 70326.9621126919. The cubic root of 4945881600 is about 1703.7841424646.

The spelling of 4945881600 in words is "four billion, nine hundred forty-five million, eight hundred eighty-one thousand, six hundred".