47460 has 48 divisors (see below), whose sum is σ = 153216. Its totient is φ = 10752.

The previous prime is 47459. The next prime is 47491. The reversal of 47460 is 6474.

47460 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 (21).

It is an Ulam number.

47460 is an undulating number in base 15.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47460.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2⁴⁷⁴⁶⁰ 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 47460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

47460 is an abundant number, since it is smaller than the sum of its proper divisors (105756).

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

47460 is a wasteful number, since it uses less digits than its factorization.

47460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 47460 is about 217.8531615561. The cubic root of 47460 is about 36.2056135287.

The spelling of 47460 in words is "forty-seven thousand, four hundred sixty".