47824000 has 192 divisors, whose sum is σ = 140582520. Its totient is φ = 16128000.

The previous prime is 47823989. The next prime is 47824003. The reversal of 47824000 is 42874.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 44408896 = 1848^2 + 6664^2 .

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 (47824003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783970 + ... + 784030.

Almost surely, 2^47824000 is an apocalyptic number.

47824000 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 47824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70291260).

47824000 is an abundant number, since it is smaller than the sum of its proper divisors (92758520).

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

47824000 is an equidigital number, since it uses as much as digits as its factorization.

47824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 47824000 is about 6915.4898597279. The cubic root of 47824000 is about 362.9793895312.

Adding to 47824000 its reverse (42874), we get a palindrome (47866874).

The spelling of 47824000 in words is "forty-seven million, eight hundred twenty-four thousand".