47105280 has 288 divisors, whose sum is σ = 176601600. Its totient is φ = 11870208.

The previous prime is 47105263. The next prime is 47105291. The reversal of 47105280 is 8250174.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002217 + ... + 1002263.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^47105280 is an apocalyptic number.

47105280 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 47105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

47105280 is an abundant number, since it is smaller than the sum of its proper divisors (129496320).

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

47105280 is a wasteful number, since it uses less digits than its factorization.

47105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 47105280 is about 6863.3286384960. The cubic root of 47105280 is about 361.1518660818.

The spelling of 47105280 in words is "forty-seven million, one hundred five thousand, two hundred eighty".