4648800 has 144 divisors (see below), whose sum is σ = 16405200. Its totient is φ = 1136640.

The previous prime is 4648799. The next prime is 4648801. The reversal of 4648800 is 88464.

4648800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4648799) and next prime (4648801).

It is a super-2 number, since 2×4648800² = 43222682880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648801) 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, 31126 + ... + 31274.

It is an arithmetic number, because the mean of its divisors is an integer number (113925).

Almost surely, 2^4648800 is an apocalyptic number.

4648800 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 4648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202600).

4648800 is an abundant number, since it is smaller than the sum of its proper divisors (11756400).

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

4648800 is a wasteful number, since it uses less digits than its factorization.

4648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4648800 is about 2156.1076039938. The cubic root of 4648800 is about 166.8963943169.

The spelling of 4648800 in words is "four million, six hundred forty-eight thousand, eight hundred".