48543300 has 180 divisors, whose sum is σ = 169830276. Its totient is φ = 11923200.

The previous prime is 48543289. The next prime is 48543307. The reversal of 48543300 is 334584.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8398404 + 40144896 = 2898^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48543307) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105070 + ... + 105530.

Almost surely, 2^48543300 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 48543300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84915138).

48543300 is an abundant number, since it is smaller than the sum of its proper divisors (121286976).

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

48543300 is a wasteful number, since it uses less digits than its factorization.

48543300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 48543300 is about 6967.3022038663. The cubic root of 48543300 is about 364.7901464617.

Adding to 48543300 its reverse (334584), we get a palindrome (48877884).

The spelling of 48543300 in words is "forty-eight million, five hundred forty-three thousand, three hundred".