47098800 has 360 divisors, whose sum is σ = 197197200. Its totient is φ = 10644480.

The previous prime is 47098781. The next prime is 47098811. The reversal of 47098800 is 889074.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×47098800² = 4436593922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529156 + ... + 529244.

It is an arithmetic number, because the mean of its divisors is an integer number (547770).

Almost surely, 2^47098800 is an apocalyptic number.

47098800 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 47098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98598600).

47098800 is an abundant number, since it is smaller than the sum of its proper divisors (150098400).

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

47098800 is a wasteful number, since it uses less digits than its factorization.

47098800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 47098800 is about 6862.8565481146. The cubic root of 47098800 is about 361.1353048003.

The spelling of 47098800 in words is "forty-seven million, ninety-eight thousand, eight hundred".