4800864 has 48 divisors (see below), whose sum is σ = 12906432. Its totient is φ = 1561728.

The previous prime is 4800857. The next prime is 4800881. The reversal of 4800864 is 4680084.

It is a tau number, because it is divible by the number of its divisors (48).

4800864 is a modest number, since divided by 864 gives 480 as remainder.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3547 + ... + 4709.

It is an arithmetic number, because the mean of its divisors is an integer number (268884).

Almost surely, 2^4800864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453216).

4800864 is an abundant number, since it is smaller than the sum of its proper divisors (8105568).

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

4800864 is a wasteful number, since it uses less digits than its factorization.

4800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4800864 is about 2191.0874012691. The cubic root of 4800864 is about 168.6966536451.

The spelling of 4800864 in words is "four million, eight hundred thousand, eight hundred sixty-four".