4851600 has 120 divisors (see below), whose sum is σ = 16790592. Its totient is φ = 1190400.

The previous prime is 4851577. The next prime is 4851617. The reversal of 4851600 is 61584.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15445 + ... + 15755.

Almost surely, 2^4851600 is an apocalyptic number.

4851600 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 4851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395296).

4851600 is an abundant number, since it is smaller than the sum of its proper divisors (11938992).

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

4851600 is a wasteful number, since it uses less digits than its factorization.

4851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 4851600 is about 2202.6347858871. The cubic root of 4851600 is about 169.2888399990.

The spelling of 4851600 in words is "four million, eight hundred fifty-one thousand, six hundred".