47580100 has 72 divisors (see below), whose sum is σ = 109243008. Its totient is φ = 17952000.

The previous prime is 47580083. The next prime is 47580101. The reversal of 47580100 is 108574.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (47580101) 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 23 ways as a sum of consecutive naturals, for example, 315025 + ... + 315175.

It is an arithmetic number, because the mean of its divisors is an integer number (1517264).

Almost surely, 2^47580100 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 47580100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54621504).

47580100 is an abundant number, since it is smaller than the sum of its proper divisors (61662908).

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

47580100 is a wasteful number, since it uses less digits than its factorization.

47580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 47580100 is about 6897.8329930493. The cubic root of 47580100 is about 362.3612786689.

Adding to 47580100 its reverse (108574), we get a palindrome (47688674).

The spelling of 47580100 in words is "forty-seven million, five hundred eighty thousand, one hundred".