4802400 has 216 divisors, whose sum is σ = 18280080. Its totient is φ = 1182720.

The previous prime is 4802393. The next prime is 4802411. The reversal of 4802400 is 42084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165586 + ... + 165614.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

Almost surely, 2^4802400 is an apocalyptic number.

4802400 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 4802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

4802400 is an abundant number, since it is smaller than the sum of its proper divisors (13477680).

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

4802400 is a wasteful number, since it uses less digits than its factorization.

4802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4802400 is about 2191.4378841300. The cubic root of 4802400 is about 168.7146427981.

Adding to 4802400 its reverse (42084), we get a palindrome (4844484).

The spelling of 4802400 in words is "four million, eight hundred two thousand, four hundred".