47718400 has 84 divisors (see below), whose sum is σ = 118842282. Its totient is φ = 19005440.

The previous prime is 47718397. The next prime is 47718401. The reversal of 47718400 is 481774.

It can be written as a sum of positive squares in 3 ways, for example, as 28217344 + 19501056 = 5312^2 + 4416^2 .

It is not an unprimeable number, because it can be changed into a prime (47718401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204684 + ... + 204916.

Almost surely, 2^47718400 is an apocalyptic number.

47718400 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 47718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59421141).

47718400 is an abundant number, since it is smaller than the sum of its proper divisors (71123882).

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

47718400 is an equidigital number, since it uses as much as digits as its factorization.

47718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 47718400 is about 6907.8506063753. The cubic root of 47718400 is about 362.7120281592.

The spelling of 47718400 in words is "forty-seven million, seven hundred eighteen thousand, four hundred".