47224960 has 64 divisors (see below), whose sum is σ = 114070680. Its totient is φ = 18694144.

The previous prime is 47224951. The next prime is 47224967. The reversal of 47224960 is 6942274.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 30382144 = 4104^2 + 5512^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (47224967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71994 + ... + 72646.

Almost surely, 2^47224960 is an apocalyptic number.

47224960 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 47224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57035340).

47224960 is an abundant number, since it is smaller than the sum of its proper divisors (66845720).

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

47224960 is a wasteful number, since it uses less digits than its factorization.

47224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 47224960 is about 6872.0419090689. The cubic root of 47224960 is about 361.4574659478.

It can be divided in two parts, 47224 and 960, that added together give a palindrome (48184).

The spelling of 47224960 in words is "forty-seven million, two hundred twenty-four thousand, nine hundred sixty".