47900160 has 480 divisors, whose sum is σ = 214486272. Its totient is φ = 9953280.

The previous prime is 47900147. The next prime is 47900161. The reversal of 47900160 is 6100974.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47900161) 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 47 ways as a sum of consecutive naturals, for example, 4354555 + ... + 4354565.

Almost surely, 2^47900160 is an apocalyptic number.

47900160 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 47900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

47900160 is an abundant number, since it is smaller than the sum of its proper divisors (166586112).

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

47900160 is an equidigital number, since it uses as much as digits as its factorization.

47900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 47900160 is about 6920.9941482420. The cubic root of 47900160 is about 363.1719696067.

The spelling of 47900160 in words is "forty-seven million, nine hundred thousand, one hundred sixty".