48075300 has 216 divisors, whose sum is σ = 185779776. Its totient is φ = 10126080.

The previous prime is 48075299. The next prime is 48075317. The reversal of 48075300 is 357084.

It is a super-3 number, since 3×48075300³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81607 + ... + 82193.

Almost surely, 2^48075300 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 48075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92889888).

48075300 is an abundant number, since it is smaller than the sum of its proper divisors (137704476).

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

48075300 is a wasteful number, since it uses less digits than its factorization.

48075300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 48075300 is about 6933.6354100861. The cubic root of 48075300 is about 363.6140598063.

The spelling of 48075300 in words is "forty-eight million, seventy-five thousand, three hundred".