4981600 has 72 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1835520.

The previous prime is 4981589. The next prime is 4981601. The reversal of 4981600 is 61894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4981601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10161 + ... + 10639.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^4981600 is an apocalyptic number.

4981600 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 4981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

4981600 is an abundant number, since it is smaller than the sum of its proper divisors (8142560).

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

4981600 is a wasteful number, since it uses less digits than its factorization.

4981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4981600 is about 2231.9498202245. The cubic root of 4981600 is about 170.7875797889.

The spelling of 4981600 in words is "four million, nine hundred eighty-one thousand, six hundred".