47314080 has 288 divisors, whose sum is σ = 183980160. Its totient is φ = 10967040.

The previous prime is 47314079. The next prime is 47314097. The reversal of 47314080 is 8041374.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459309 + ... + 459411.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^47314080 is an apocalyptic number.

47314080 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 47314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

47314080 is an abundant number, since it is smaller than the sum of its proper divisors (136666080).

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

47314080 is a wasteful number, since it uses less digits than its factorization.

47314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47314080 is about 6878.5230972935. The cubic root of 47314080 is about 361.6846964001.

The spelling of 47314080 in words is "forty-seven million, three hundred fourteen thousand, eighty".