4902946800 has 240 divisors, whose sum is σ = 16466588928. Its totient is φ = 1244672000.

The previous prime is 4902946781. The next prime is 4902946801. The reversal of 4902946800 is 86492094.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4902946801) 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, 11067379 + ... + 11067821.

Almost surely, 2^4902946800 is an apocalyptic number.

4902946800 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 4902946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233294464).

4902946800 is an abundant number, since it is smaller than the sum of its proper divisors (11563642128).

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

4902946800 is a wasteful number, since it uses less digits than its factorization.

4902946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4902946800 is about 70021.0454077915. The cubic root of 4902946800 is about 1698.8396695608.

The spelling of 4902946800 in words is "four billion, nine hundred two million, nine hundred forty-six thousand, eight hundred".