47984880 has 160 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 11390976.

The previous prime is 47984843. The next prime is 47984887. The reversal of 47984880 is 8848974.

It is a super-2 number, since 2×47984880² = 4605097417228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47984887) 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, 77211 + ... + 77829.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^47984880 is an apocalyptic number.

47984880 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 47984880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

47984880 is an abundant number, since it is smaller than the sum of its proper divisors (118075920).

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

47984880 is a wasteful number, since it uses less digits than its factorization.

47984880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 47984880 is about 6927.1119523218. Note that the first 3 decimals coincide. The cubic root of 47984880 is about 363.3859550265.

The spelling of 47984880 in words is "forty-seven million, nine hundred eighty-four thousand, eight hundred eighty".