4914800 has 60 divisors (see below), whose sum is σ = 12892776. Its totient is φ = 1785600.

The previous prime is 4914799. The next prime is 4914809. The reversal of 4914800 is 84194.

It is a self number, because there is not a number n which added to its sum of digits gives 4914800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4914809) 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, 3842 + ... + 4958.

Almost surely, 2^4914800 is an apocalyptic number.

4914800 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 4914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446388).

4914800 is an abundant number, since it is smaller than the sum of its proper divisors (7977976).

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

4914800 is a wasteful number, since it uses less digits than its factorization.

4914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4914800 is about 2216.9348208732. The cubic root of 4914800 is about 170.0207587107.

Adding to 4914800 its reverse (84194), we get a palindrome (4998994).

The spelling of 4914800 in words is "four million, nine hundred fourteen thousand, eight hundred".