47872440 has 288 divisors, whose sum is σ = 196691040. Its totient is φ = 9884160.

The previous prime is 47872439. The next prime is 47872441. The reversal of 47872440 is 4427874.

It is an interprime number because it is at equal distance from previous prime (47872439) and next prime (47872441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47872395 and 47872404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47872441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304842 + ... + 304998.

It is an arithmetic number, because the mean of its divisors is an integer number (682955).

Almost surely, 2^47872440 is an apocalyptic number.

47872440 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 47872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98345520).

47872440 is an abundant number, since it is smaller than the sum of its proper divisors (148818600).

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

47872440 is a wasteful number, since it uses less digits than its factorization.

47872440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 47872440 is about 6918.9912559563. The cubic root of 47872440 is about 363.1018997671.

It can be divided in two parts, 4787 and 2440, that added together give a palindrome (7227).

The spelling of 47872440 in words is "forty-seven million, eight hundred seventy-two thousand, four hundred forty".