47564448 has 96 divisors (see below), whose sum is σ = 133358400. Its totient is φ = 14800896.

The previous prime is 47564411. The next prime is 47564449. The reversal of 47564448 is 84446574.

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

It is not an unprimeable number, because it can be changed into a prime (47564449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162190 + ... + 162482.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^47564448 is an apocalyptic number.

47564448 is a gapful number since it is divisible by the number (48) 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 47564448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679200).

47564448 is an abundant number, since it is smaller than the sum of its proper divisors (85793952).

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

47564448 is a wasteful number, since it uses less digits than its factorization.

47564448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 47564448 is about 6896.6983405105. The cubic root of 47564448 is about 362.3215400613.

The spelling of 47564448 in words is "forty-seven million, five hundred sixty-four thousand, four hundred forty-eight".