4881600 has 168 divisors, whose sum is σ = 17952720. Its totient is φ = 1290240.

The previous prime is 4881587. The next prime is 4881623. The reversal of 4881600 is 61884.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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, 43144 + ... + 43256.

Almost surely, 2^4881600 is an apocalyptic number.

4881600 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 4881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976360).

4881600 is an abundant number, since it is smaller than the sum of its proper divisors (13071120).

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

4881600 is a wasteful number, since it uses less digits than its factorization.

4881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

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

The square root of 4881600 is about 2209.4343167426. The cubic root of 4881600 is about 169.6370572875.

The spelling of 4881600 in words is "four million, eight hundred eighty-one thousand, six hundred".