4935800 has 96 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 1774080.

The previous prime is 4935793. The next prime is 4935809. The reversal of 4935800 is 85394.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133382 + ... + 133418.

It is an arithmetic number, because the mean of its divisors is an integer number (132525).

Almost surely, 2^4935800 is an apocalyptic number.

4935800 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 4935800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

4935800 is an abundant number, since it is smaller than the sum of its proper divisors (7786600).

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

4935800 is a wasteful number, since it uses less digits than its factorization.

4935800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4935800 is about 2221.6660415103. Note that the first 3 decimals coincide. The cubic root of 4935800 is about 170.2625700226.

The spelling of 4935800 in words is "four million, nine hundred thirty-five thousand, eight hundred".