4800400 has 60 divisors (see below), whose sum is σ = 12592944. Its totient is φ = 1744000.

The previous prime is 4800373. The next prime is 4800401. The reversal of 4800400 is 40084.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4800401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3855 + ... + 4945.

Almost surely, 2^4800400 is an apocalyptic number.

4800400 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 4800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472).

4800400 is an abundant number, since it is smaller than the sum of its proper divisors (7792544).

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

4800400 is a wasteful number, since it uses less digits than its factorization.

4800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4800400 is about 2190.9815152118. The cubic root of 4800400 is about 168.6912186672.

Adding to 4800400 its reverse (40084), we get a palindrome (4840484).

The spelling of 4800400 in words is "four million, eight hundred thousand, four hundred".