4952842800 has 120 divisors (see below), whose sum is σ = 15891465024. Its totient is φ = 1318606080.

The previous prime is 4952842799. The next prime is 4952842801. The reversal of 4952842800 is 82482594.

It is an interprime number because it is at equal distance from previous prime (4952842799) and next prime (4952842801).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4952842801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816579 + ... + 822621.

Almost surely, 2^4952842800 is an apocalyptic number.

4952842800 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 4952842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945732512).

4952842800 is an abundant number, since it is smaller than the sum of its proper divisors (10938622224).

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

4952842800 is a wasteful number, since it uses less digits than its factorization.

4952842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4952842800 is about 70376.4363974193. The cubic root of 4952842800 is about 1704.5831117273.

The spelling of 4952842800 in words is "four billion, nine hundred fifty-two million, eight hundred forty-two thousand, eight hundred".