47520800 has 72 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 18848000.

The previous prime is 47520793. The next prime is 47520827. The reversal of 47520800 is 802574.

It is a self number, because there is not a number n which added to its sum of digits gives 47520800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152645 + ... + 152955.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^47520800 is an apocalyptic number.

47520800 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 47520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

47520800 is an abundant number, since it is smaller than the sum of its proper divisors (69471712).

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

47520800 is a wasteful number, since it uses less digits than its factorization.

47520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 47520800 is about 6893.5332014867. The cubic root of 47520800 is about 362.2106767927.

The spelling of 47520800 in words is "forty-seven million, five hundred twenty thousand, eight hundred".