48403200 has 108 divisors (see below), whose sum is σ = 159804008. Its totient is φ = 12902400.

The previous prime is 48403181. The next prime is 48403207. The reversal of 48403200 is 230484.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48403207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17940 + ... + 20460.

Almost surely, 2^48403200 is an apocalyptic number.

48403200 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 48403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902004).

48403200 is an abundant number, since it is smaller than the sum of its proper divisors (111400808).

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

48403200 is a wasteful number, since it uses less digits than its factorization.

48403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 48403200 is about 6957.2408323990. The cubic root of 48403200 is about 364.4388700758.

Adding to 48403200 its reverse (230484), we get a palindrome (48633684).

The spelling of 48403200 in words is "forty-eight million, four hundred three thousand, two hundred".