48071200 has 36 divisors (see below), whose sum is σ = 117355770. Its totient is φ = 19228160.

The previous prime is 48071171. The next prime is 48071201. The reversal of 48071200 is 217084.

It can be written as a sum of positive squares in 3 ways, for example, as 46621584 + 1449616 = 6828^2 + 1204^2 .

It is a super-3 number, since 3×48071200³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48071201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29245 + ... + 30844.

Almost surely, 2^48071200 is an apocalyptic number.

48071200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48071200 is an abundant number, since it is smaller than the sum of its proper divisors (69284570).

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

48071200 is a wasteful number, since it uses less digits than its factorization.

48071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60109 (or 60096 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 48071200 is about 6933.3397435868. The cubic root of 48071200 is about 363.6037228278.

Adding to 48071200 its reverse (217084), we get a palindrome (48288284).

The spelling of 48071200 in words is "forty-eight million, seventy-one thousand, two hundred".