4800386400 has 144 divisors (see below), whose sum is σ = 15662372544. Its totient is φ = 1277063680.

The previous prime is 4800386389. The next prime is 4800386431. The reversal of 4800386400 is 46830084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118659 + ... + 1122941.

It is an arithmetic number, because the mean of its divisors is an integer number (108766476).

Almost surely, 2^4800386400 is an apocalyptic number.

4800386400 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 4800386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831186272).

4800386400 is an abundant number, since it is smaller than the sum of its proper divisors (10861986144).

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

4800386400 is a wasteful number, since it uses less digits than its factorization.

4800386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4800386400 is about 69284.8208484369. The cubic root of 4800386400 is about 1686.9105936087.

The spelling of 4800386400 in words is "four billion, eight hundred million, three hundred eighty-six thousand, four hundred".