4611200 has 96 divisors (see below), whose sum is σ = 12521520. Its totient is φ = 1664000.

The previous prime is 4611193. The next prime is 4611209. The reversal of 4611200 is 21164.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4611209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35135 + ... + 35265.

Almost surely, 2^4611200 is an apocalyptic number.

4611200 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 4611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260760).

4611200 is an abundant number, since it is smaller than the sum of its proper divisors (7910320).

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

4611200 is a wasteful number, since it uses less digits than its factorization.

4611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4611200 is about 2147.3704850351. The cubic root of 4611200 is about 166.4452170017.

Adding to 4611200 its reverse (21164), we get a palindrome (4632364).

It can be divided in two parts, 461 and 1200, that added together give a palindrome (1661).

The spelling of 4611200 in words is "four million, six hundred eleven thousand, two hundred".