47850880 has 128 divisors (see below), whose sum is σ = 142767360. Its totient is φ = 14899200.

The previous prime is 47850863. The next prime is 47850883. The reversal of 47850880 is 8805874.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47850883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48795 + ... + 49765.

It is an arithmetic number, because the mean of its divisors is an integer number (1115370).

Almost surely, 2^47850880 is an apocalyptic number.

47850880 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 47850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71383680).

47850880 is an abundant number, since it is smaller than the sum of its proper divisors (94916480).

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

47850880 is a wasteful number, since it uses less digits than its factorization.

47850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 47850880 is about 6917.4330499109. The cubic root of 47850880 is about 363.0473823003.

The spelling of 47850880 in words is "forty-seven million, eight hundred fifty thousand, eight hundred eighty".