4954267200 has 168 divisors, whose sum is σ = 16815084480. Its totient is φ = 1275545600.

The previous prime is 4954267193. The next prime is 4954267207. The reversal of 4954267200 is 27624594.

It is an interprime number because it is at equal distance from previous prime (4954267193) and next prime (4954267207).

It is not an unprimeable number, because it can be changed into a prime (4954267207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121405 + ... + 156995.

Almost surely, 2^4954267200 is an apocalyptic number.

4954267200 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 4954267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407542240).

4954267200 is an abundant number, since it is smaller than the sum of its proper divisors (11860817280).

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

4954267200 is a wasteful number, since it uses less digits than its factorization.

4954267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35645 (or 35630 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4954267200 is about 70386.5555344201. Note that the first 4 decimals coincide. The cubic root of 4954267200 is about 1704.7465044535.

The spelling of 4954267200 in words is "four billion, nine hundred fifty-four million, two hundred sixty-seven thousand, two hundred".