47995200 has 336 divisors, whose sum is σ = 192755520. Its totient is φ = 11520000.

The previous prime is 47995183. The next prime is 47995201. The reversal of 47995200 is 259974.

47995200 is a `hidden beast` number, since 47 + 99 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47995201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475150 + ... + 475250.

Almost surely, 2^47995200 is an apocalyptic number.

47995200 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 47995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96377760).

47995200 is an abundant number, since it is smaller than the sum of its proper divisors (144760320).

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

47995200 is a wasteful number, since it uses less digits than its factorization.

47995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 47995200 is about 6927.8568114533. The cubic root of 47995200 is about 363.4120040253.

It can be divided in two parts, 4799 and 5200, that added together give a palindrome (9999).

The spelling of 47995200 in words is "forty-seven million, nine hundred ninety-five thousand, two hundred".