4897200 has 240 divisors, whose sum is σ = 19927296. Its totient is φ = 998400.

The previous prime is 4897199. The next prime is 4897213. The reversal of 4897200 is 27984.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 92374 + ... + 92426.

Almost surely, 2^4897200 is an apocalyptic number.

4897200 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 4897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

4897200 is an abundant number, since it is smaller than the sum of its proper divisors (15030096).

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

4897200 is a wasteful number, since it uses less digits than its factorization.

4897200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4897200 is about 2212.9618162092. The cubic root of 4897200 is about 169.8175666932.

It can be divided in two parts, 48 and 97200, that multiplied together give a square (4665600 = 2160²).

The spelling of 4897200 in words is "four million, eight hundred ninety-seven thousand, two hundred".