4842600 has 96 divisors (see below), whose sum is σ = 17171520. Its totient is φ = 1105920.

The previous prime is 4842599. The next prime is 4842611. The reversal of 4842600 is 62484.

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

It is an Ulam 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, 3624 + ... + 4776.

It is an arithmetic number, because the mean of its divisors is an integer number (178870).

Almost surely, 2^4842600 is an apocalyptic number.

4842600 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 4842600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585760).

4842600 is an abundant number, since it is smaller than the sum of its proper divisors (12328920).

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

4842600 is a wasteful number, since it uses less digits than its factorization.

4842600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4842600 is about 2200.5908297546. The cubic root of 4842600 is about 169.1840949902.

The spelling of 4842600 in words is "four million, eight hundred forty-two thousand, six hundred".