47141760 has 128 divisors (see below), whose sum is σ = 154028160. Its totient is φ = 12257280.

The previous prime is 47141741. The next prime is 47141777. The reversal of 47141760 is 6714174.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82275 + ... + 82845.

It is an arithmetic number, because the mean of its divisors is an integer number (1203345).

Almost surely, 2^47141760 is an apocalyptic number.

47141760 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 47141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77014080).

47141760 is an abundant number, since it is smaller than the sum of its proper divisors (106886400).

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

47141760 is a wasteful number, since it uses less digits than its factorization.

47141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 47141760 is about 6865.9857267548. The cubic root of 47141760 is about 361.2450716313.

The spelling of 47141760 in words is "forty-seven million, one hundred forty-one thousand, seven hundred sixty".