47408760 has 128 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 10834560.

The previous prime is 47408749. The next prime is 47408761. The reversal of 47408760 is 6780474.

It is a happy number.

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 (47408761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4425 + ... + 10695.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^47408760 is an apocalyptic number.

47408760 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 47408760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

47408760 is an abundant number, since it is smaller than the sum of its proper divisors (133224840).

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

47408760 is a wasteful number, since it uses less digits than its factorization.

47408760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47408760 is about 6885.4019490513. The cubic root of 47408760 is about 361.9257908789.

The spelling of 47408760 in words is "forty-seven million, four hundred eight thousand, seven hundred sixty".