47311264 has 144 divisors (see below), whose sum is σ = 127897056. Its totient is φ = 16934400.

The previous prime is 47311261. The next prime is 47311279. The reversal of 47311264 is 46211374.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47311261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224119 + ... + 224329.

It is an arithmetic number, because the mean of its divisors is an integer number (888174).

Almost surely, 2^47311264 is an apocalyptic number.

47311264 is a gapful number since it is divisible by the number (44) 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 47311264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63948528).

47311264 is an abundant number, since it is smaller than the sum of its proper divisors (80585792).

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

47311264 is a wasteful number, since it uses less digits than its factorization.

47311264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 47311264 is about 6878.3183991438. The cubic root of 47311264 is about 361.6775207750.

It can be divided in two parts, 4731 and 1264, that added together give a palindrome (5995).

The spelling of 47311264 in words is "forty-seven million, three hundred eleven thousand, two hundred sixty-four".