4801600 has 42 divisors (see below), whose sum is σ = 11818874. Its totient is φ = 1920000.

The previous prime is 4801579. The next prime is 4801603. The reversal of 4801600 is 61084.

It can be written as a sum of positive squares in 3 ways, for example, as 341056 + 4460544 = 584^2 + 2112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100 + ... + 3100.

Almost surely, 2^4801600 is an apocalyptic number.

4801600 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 4801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909437).

4801600 is an abundant number, since it is smaller than the sum of its proper divisors (7017274).

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

4801600 is a wasteful number, since it uses less digits than its factorization.

4801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4801600 is about 2191.2553479684. The cubic root of 4801600 is about 168.7052739263.

Adding to 4801600 its reverse (61084), we get a palindrome (4862684).

It can be divided in two parts, 480 and 1600, that added together give a triangular number (2080 = T₆₄).

The spelling of 4801600 in words is "four million, eight hundred one thousand, six hundred".