4839600 has 120 divisors (see below), whose sum is σ = 16067920. Its totient is φ = 1244160.

The previous prime is 4839587. The next prime is 4839613. The reversal of 4839600 is 69384.

4839600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4839587) and next prime (4839613).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 44346 + ... + 44454.

Almost surely, 2^4839600 is an apocalyptic number.

4839600 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 4839600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033960).

4839600 is an abundant number, since it is smaller than the sum of its proper divisors (11228320).

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

4839600 is a wasteful number, since it uses less digits than its factorization.

4839600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4839600 is about 2199.9090890307. The cubic root of 4839600 is about 169.1491511493.

The spelling of 4839600 in words is "four million, eight hundred thirty-nine thousand, six hundred".