4626800 has 60 divisors (see below), whose sum is σ = 11416680. Its totient is φ = 1800960.

The previous prime is 4626799. The next prime is 4626827. The reversal of 4626800 is 86264.

It is a Cunningham number, because it is equal to 2151²-1.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4626800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17066 + ... + 17334.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 2^4626800 is an apocalyptic number.

4626800 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 4626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708340).

4626800 is an abundant number, since it is smaller than the sum of its proper divisors (6789880).

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

4626800 is a wasteful number, since it uses less digits than its factorization.

4626800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4626800 is about 2150.9997675500. Note that the first 3 decimals coincide. The cubic root of 4626800 is about 166.6327041909.

The spelling of 4626800 in words is "four million, six hundred twenty-six thousand, eight hundred".