47770560 has 280 divisors, whose sum is σ = 180715920. Its totient is φ = 11943936.

The previous prime is 47770537. The next prime is 47770577. The reversal of 47770560 is 6507774.

47770560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492432 + ... + 492528.

It is an arithmetic number, because the mean of its divisors is an integer number (645414).

Almost surely, 2^47770560 is an apocalyptic number.

47770560 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 47770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90357960).

47770560 is an abundant number, since it is smaller than the sum of its proper divisors (132945360).

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

47770560 is a wasteful number, since it uses less digits than its factorization.

47770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 47770560 is about 6911.6249898269. The cubic root of 47770560 is about 362.8441377174.

The spelling of 47770560 in words is "forty-seven million, seven hundred seventy thousand, five hundred sixty".