47352960 has 96 divisors (see below), whose sum is σ = 163535580. Its totient is φ = 12625920.

The previous prime is 47352937. The next prime is 47353013. The reversal of 47352960 is 6925374.

47352960 is a `hidden beast` number, since 4 + 73 + 529 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45481536 + 1871424 = 6744^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1650 + ... + 9870.

Almost surely, 2^47352960 is an apocalyptic number.

47352960 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 47352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81767790).

47352960 is an abundant number, since it is smaller than the sum of its proper divisors (116182620).

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

47352960 is a wasteful number, since it uses less digits than its factorization.

47352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 47352960 is about 6881.3487050142. The cubic root of 47352960 is about 361.7837398624.

The spelling of 47352960 in words is "forty-seven million, three hundred fifty-two thousand, nine hundred sixty".