4941600 has 144 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1254400.

The previous prime is 4941593. The next prime is 4941613. The reversal of 4941600 is 61494.

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, 69565 + ... + 69635.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^4941600 is an apocalyptic number.

4941600 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 4941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

4941600 is an abundant number, since it is smaller than the sum of its proper divisors (11932320).

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

4941600 is a wasteful number, since it uses less digits than its factorization.

4941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4941600 is about 2222.9709849658. The cubic root of 4941600 is about 170.3292350921.

The spelling of 4941600 in words is "four million, nine hundred forty-one thousand, six hundred".