47560464 has 120 divisors (see below), whose sum is σ = 157460160. Its totient is φ = 13112064.

The previous prime is 47560463. The next prime is 47560511. The reversal of 47560464 is 46406574.

47560464 is a `hidden beast` number, since 47 + 5 + 604 + 6 + 4 = 666.

47560464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (47560463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28419 + ... + 30045.

It is an arithmetic number, because the mean of its divisors is an integer number (1312168).

Almost surely, 2^47560464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47560464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78730080).

47560464 is an abundant number, since it is smaller than the sum of its proper divisors (109899696).

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

47560464 is a wasteful number, since it uses less digits than its factorization.

47560464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 47560464 is about 6896.4095006025. The cubic root of 47560464 is about 362.3114237568.

The spelling of 47560464 in words is "forty-seven million, five hundred sixty thousand, four hundred sixty-four".