47201280 has 176 divisors, whose sum is σ = 172930560. Its totient is φ = 10764288.

The previous prime is 47201279. The next prime is 47201293. The reversal of 47201280 is 8210274.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 47201280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107301 + ... + 107739.

It is an arithmetic number, because the mean of its divisors is an integer number (982560).

Almost surely, 2^47201280 is an apocalyptic number.

47201280 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 47201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86465280).

47201280 is an abundant number, since it is smaller than the sum of its proper divisors (125729280).

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

47201280 is a wasteful number, since it uses less digits than its factorization.

47201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 47201280 is about 6870.3187698971. The cubic root of 47201280 is about 361.3970406711.

The spelling of 47201280 in words is "forty-seven million, two hundred one thousand, two hundred eighty".