47488560 has 160 divisors (see below), whose sum is σ = 175703040. Its totient is φ = 10374144.

The previous prime is 47488549. The next prime is 47488577. The reversal of 47488560 is 6588474.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38026 + ... + 39254.

It is an arithmetic number, because the mean of its divisors is an integer number (1098144).

Almost surely, 2^47488560 is an apocalyptic number.

47488560 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 47488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87851520).

47488560 is an abundant number, since it is smaller than the sum of its proper divisors (128214480).

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

47488560 is a wasteful number, since it uses less digits than its factorization.

47488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 47488560 is about 6891.1943812376. The cubic root of 47488560 is about 362.1287455536.

The spelling of 47488560 in words is "forty-seven million, four hundred eighty-eight thousand, five hundred sixty".