47744640 has 192 divisors, whose sum is σ = 171531360. Its totient is φ = 12690432.

The previous prime is 47744633. The next prime is 47744651. The reversal of 47744640 is 4644774.

47744640 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 47744595 and 47744604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155367 + ... + 155673.

Almost surely, 2^47744640 is an apocalyptic number.

47744640 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 47744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765680).

47744640 is an abundant number, since it is smaller than the sum of its proper divisors (123786720).

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

47744640 is an equidigital number, since it uses as much as digits as its factorization.

47744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 47744640 is about 6909.7496336698. The cubic root of 47744640 is about 362.7785002091.

It can be divided in two parts, 47744 and 640, that added together give a palindrome (48384).

The spelling of 47744640 in words is "forty-seven million, seven hundred forty-four thousand, six hundred forty".