47481312 has 96 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 15219200.

The previous prime is 47481307. The next prime is 47481341. The reversal of 47481312 is 21318474.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (5376) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 47481312.

It is a congruent number.

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, 470062 + ... + 470162.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^47481312 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 47481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

47481312 is an abundant number, since it is smaller than the sum of its proper divisors (82066848).

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

47481312 is a wasteful number, since it uses less digits than its factorization.

47481312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 47481312 is about 6890.6684726520. The cubic root of 47481312 is about 362.1103211675.

Adding to 47481312 its reverse (21318474), we get a palindrome (68799786).

It can be divided in two parts, 474813 and 12, that added together give a triangular number (474825 = T₉₇₄).

The spelling of 47481312 in words is "forty-seven million, four hundred eighty-one thousand, three hundred twelve".