4974200 has 192 divisors, whose sum is σ = 16070400. Its totient is φ = 1382400.

The previous prime is 4974199. The next prime is 4974227. The reversal of 4974200 is 24794.

4974200 = 434² + 435² + ... + 458².

It is a self number, because there is not a number n which added to its sum of digits gives 4974200.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 261791 + ... + 261809.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

Almost surely, 2^4974200 is an apocalyptic number.

4974200 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 4974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

4974200 is an abundant number, since it is smaller than the sum of its proper divisors (11096200).

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

4974200 is a wasteful number, since it uses less digits than its factorization.

4974200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4974200 is about 2230.2914607737. The cubic root of 4974200 is about 170.7029714704.

Adding to 4974200 its reverse (24794), we get a palindrome (4998994).

The spelling of 4974200 in words is "four million, nine hundred seventy-four thousand, two hundred".