47564300 has 108 divisors (see below), whose sum is σ = 127351224. Its totient is φ = 15321600.

The previous prime is 47564291. The next prime is 47564303. The reversal of 47564300 is 346574.

It is not an unprimeable number, because it can be changed into a prime (47564303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83015 + ... + 83585.

It is an arithmetic number, because the mean of its divisors is an integer number (1179178).

Almost surely, 2^47564300 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 47564300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675612).

47564300 is an abundant number, since it is smaller than the sum of its proper divisors (79786924).

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

47564300 is a wasteful number, since it uses less digits than its factorization.

47564300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 47564300 is about 6896.6876107302. The cubic root of 47564300 is about 362.3211642649.

The spelling of 47564300 in words is "forty-seven million, five hundred sixty-four thousand, three hundred".