47241600 has 384 divisors, whose sum is σ = 192249600. Its totient is φ = 9953280.

The previous prime is 47241577. The next prime is 47241611. The reversal of 47241600 is 614274.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276782 + ... + 1276818.

It is an arithmetic number, because the mean of its divisors is an integer number (500650).

Almost surely, 2^47241600 is an apocalyptic number.

47241600 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 47241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124800).

47241600 is an abundant number, since it is smaller than the sum of its proper divisors (145008000).

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

47241600 is a wasteful number, since it uses less digits than its factorization.

47241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 47241600 is about 6873.2525051827. The cubic root of 47241600 is about 361.4999148698.

Adding to 47241600 its reverse (614274), we get a palindrome (47855874).

The spelling of 47241600 in words is "forty-seven million, two hundred forty-one thousand, six hundred".