47530800 has 210 divisors, whose sum is σ = 172261172. Its totient is φ = 12597120.

The previous prime is 47530787. The next prime is 47530801. The reversal of 47530800 is 803574.

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 (47530801) 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 41 ways as a sum of consecutive naturals, for example, 291519 + ... + 291681.

Almost surely, 2^47530800 is an apocalyptic number.

47530800 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 47530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86130586).

47530800 is an abundant number, since it is smaller than the sum of its proper divisors (124730372).

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

47530800 is a wasteful number, since it uses less digits than its factorization.

47530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

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

The square root of 47530800 is about 6894.2584807940. The cubic root of 47530800 is about 362.2360821781.

The spelling of 47530800 in words is "forty-seven million, five hundred thirty thousand, eight hundred".