4967800 has 48 divisors (see below), whose sum is σ = 11773800. Its totient is φ = 1948800.

The previous prime is 4967783. The next prime is 4967801. The reversal of 4967800 is 87694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967801) 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 11 ways as a sum of consecutive naturals, for example, 11590 + ... + 12010.

Almost surely, 2^4967800 is an apocalyptic number.

4967800 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 4967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886900).

4967800 is an abundant number, since it is smaller than the sum of its proper divisors (6806000).

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

4967800 is a wasteful number, since it uses less digits than its factorization.

4967800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4967800 is about 2228.8562089107. The cubic root of 4967800 is about 170.6297290124.

The spelling of 4967800 in words is "four million, nine hundred sixty-seven thousand, eight hundred".