4896000 has 216 divisors, whose sum is σ = 18653544. Its totient is φ = 1228800.

The previous prime is 4895993. The next prime is 4896011. The reversal of 4896000 is 6984.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 4875264 = 144^2 + 2208^2 .

It is a zygodrome in base 15.

It is a congruent number.

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, 287992 + ... + 288008.

It is an arithmetic number, because the mean of its divisors is an integer number (86359).

Almost surely, 2^4896000 is an apocalyptic number.

4896000 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 4896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326772).

4896000 is an abundant number, since it is smaller than the sum of its proper divisors (13757544).

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

4896000 is a wasteful number, since it uses less digits than its factorization.

4896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4896000 is about 2212.6906697503. The cubic root of 4896000 is about 169.8036949755.

The spelling of 4896000 in words is "four million, eight hundred ninety-six thousand".