47456160 has 48 divisors (see below), whose sum is σ = 149488416. Its totient is φ = 12654848.

The previous prime is 47456159. The next prime is 47456161. The reversal of 47456160 is 6165474.

It is an interprime number because it is at equal distance from previous prime (47456159) and next prime (47456161).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (47456161) 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, 48954 + ... + 49913.

It is an arithmetic number, because the mean of its divisors is an integer number (3114342).

Almost surely, 2^47456160 is an apocalyptic number.

47456160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47456160 is an abundant number, since it is smaller than the sum of its proper divisors (102032256).

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

47456160 is a wasteful number, since it uses less digits than its factorization.

47456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98885 (or 98877 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 47456160 is about 6888.8431539700. The cubic root of 47456160 is about 362.0463703407.

The spelling of 47456160 in words is "forty-seven million, four hundred fifty-six thousand, one hundred sixty".