47981800 has 96 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 18144000.

The previous prime is 47981797. The next prime is 47981839. The reversal of 47981800 is 818974.

47981800 = T₂₇₆ + T₂₇₇ + ... + T₆₇₅.

It is a self number, because there is not a number n which added to its sum of digits gives 47981800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440146 + ... + 440254.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2^47981800 is an apocalyptic number.

47981800 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 47981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

47981800 is an abundant number, since it is smaller than the sum of its proper divisors (69867800).

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

47981800 is a wasteful number, since it uses less digits than its factorization.

47981800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 47981800 is about 6926.8896338833. The cubic root of 47981800 is about 363.3781799893.

The spelling of 47981800 in words is "forty-seven million, nine hundred eighty-one thousand, eight hundred".