4936800 has 216 divisors, whose sum is σ = 18701928. Its totient is φ = 1126400.

The previous prime is 4936793. The next prime is 4936819. The reversal of 4936800 is 86394.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290392 + ... + 290408.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

Almost surely, 2^4936800 is an apocalyptic number.

4936800 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 4936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350964).

4936800 is an abundant number, since it is smaller than the sum of its proper divisors (13765128).

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

4936800 is a wasteful number, since it uses less digits than its factorization.

4936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4936800 is about 2221.8910864397. The cubic root of 4936800 is about 170.2740677246.

The spelling of 4936800 in words is "four million, nine hundred thirty-six thousand, eight hundred".