47319840 has 144 divisors (see below), whose sum is σ = 171066168. Its totient is φ = 11870208.

The previous prime is 47319791. The next prime is 47319847. The reversal of 47319840 is 4891374.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44997264 + 2322576 = 6708^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 47319795 and 47319804.

It is not an unprimeable number, because it can be changed into a prime (47319847) 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, 23514 + ... + 25446.

Almost surely, 2^47319840 is an apocalyptic number.

47319840 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 47319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85533084).

47319840 is an abundant number, since it is smaller than the sum of its proper divisors (123746328).

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

47319840 is a wasteful number, since it uses less digits than its factorization.

47319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47319840 is about 6878.9417790820. The cubic root of 47319840 is about 361.6993729285.

The spelling of 47319840 in words is "forty-seven million, three hundred nineteen thousand, eight hundred forty".