47844160 has 224 divisors, whose sum is σ = 147474432. Its totient is φ = 14376960.

The previous prime is 47844119. The next prime is 47844161. The reversal of 47844160 is 6144874.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×47844160² = 4578127292211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47844161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902694 + ... + 902746.

It is an arithmetic number, because the mean of its divisors is an integer number (658368).

Almost surely, 2^47844160 is an apocalyptic number.

47844160 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 47844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

47844160 is an abundant number, since it is smaller than the sum of its proper divisors (99630272).

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

47844160 is a wasteful number, since it uses less digits than its factorization.

47844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 47844160 is about 6916.9473035437. The cubic root of 47844160 is about 363.0303864957.

The spelling of 47844160 in words is "forty-seven million, eight hundred forty-four thousand, one hundred sixty".