47561280 has 224 divisors, whose sum is σ = 168639744. Its totient is φ = 11280384.

The previous prime is 47561279. The next prime is 47561287. The reversal of 47561280 is 8216574.

It is not an unprimeable number, because it can be changed into a prime (47561287) 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, 461709 + ... + 461811.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 2^47561280 is an apocalyptic number.

47561280 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 47561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319872).

47561280 is an abundant number, since it is smaller than the sum of its proper divisors (121078464).

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

47561280 is a wasteful number, since it uses less digits than its factorization.

47561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 47561280 is about 6896.4686615688. The cubic root of 47561280 is about 362.3134958170.

The spelling of 47561280 in words is "forty-seven million, five hundred sixty-one thousand, two hundred eighty".