4618800 has 90 divisors (see below), whose sum is σ = 16041012. Its totient is φ = 1230720.

The previous prime is 4618787. The next prime is 4618807. The reversal of 4618800 is 88164.

It is a tau number, because it is divible by the number of its divisors (90).

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4618807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2959 + ... + 4241.

Almost surely, 2^4618800 is an apocalyptic number.

4618800 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 4618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020506).

4618800 is an abundant number, since it is smaller than the sum of its proper divisors (11422212).

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

4618800 is a wasteful number, since it uses less digits than its factorization.

4618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4618800 is about 2149.1393626287. The cubic root of 4618800 is about 166.5366096485.

It can be divided in two parts, 461 and 8800, that added together give a cube (9261 = 21³).

The spelling of 4618800 in words is "four million, six hundred eighteen thousand, eight hundred".