47486160 has 120 divisors (see below), whose sum is σ = 161299944. Its totient is φ = 12518400.

The previous prime is 47486143. The next prime is 47486167. The reversal of 47486160 is 6168474.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 37601424 = 3144^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47486167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72394 + ... + 73046.

Almost surely, 2^47486160 is an apocalyptic number.

47486160 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 47486160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80649972).

47486160 is an abundant number, since it is smaller than the sum of its proper divisors (113813784).

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

47486160 is a wasteful number, since it uses less digits than its factorization.

47486160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47486160 is about 6891.0202437665. The cubic root of 47486160 is about 362.1226449711.

The spelling of 47486160 in words is "forty-seven million, four hundred eighty-six thousand, one hundred sixty".