4991200 has 72 divisors (see below), whose sum is σ = 12936672. Its totient is φ = 1873920.

The previous prime is 4991171. The next prime is 4991201. The reversal of 4991200 is 21994.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4991201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13417 + ... + 13783.

It is an arithmetic number, because the mean of its divisors is an integer number (179676).

Almost surely, 2^4991200 is an apocalyptic number.

4991200 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 4991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468336).

4991200 is an abundant number, since it is smaller than the sum of its proper divisors (7945472).

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

4991200 is a wasteful number, since it uses less digits than its factorization.

4991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 4991200 is about 2234.0993711113. The cubic root of 4991200 is about 170.8972171676.

The spelling of 4991200 in words is "four million, nine hundred ninety-one thousand, two hundred".