4939200 has 252 divisors, whose sum is σ = 20472400. Its totient is φ = 1128960.

The previous prime is 4939171. The next prime is 4939211. The reversal of 4939200 is 29394.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 705597 + ... + 705603.

Almost surely, 2^4939200 is an apocalyptic number.

4939200 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 4939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10236200).

4939200 is an abundant number, since it is smaller than the sum of its proper divisors (15533200).

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

4939200 is a wasteful number, since it uses less digits than its factorization.

4939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4939200 is about 2222.4311012943. The cubic root of 4939200 is about 170.3016558761.

The spelling of 4939200 in words is "four million, nine hundred thirty-nine thousand, two hundred".