4630800 has 120 divisors (see below), whose sum is σ = 15775776. Its totient is φ = 1157120.

The previous prime is 4630789. The next prime is 4630831. The reversal of 4630800 is 80364.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20287 + ... + 20513.

Almost surely, 2^4630800 is an apocalyptic number.

4630800 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 4630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887888).

4630800 is an abundant number, since it is smaller than the sum of its proper divisors (11144976).

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

4630800 is a wasteful number, since it uses less digits than its factorization.

4630800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4630800 is about 2151.9293668706. The cubic root of 4630800 is about 166.6807099278.

The spelling of 4630800 in words is "four million, six hundred thirty thousand, eight hundred".