47719840 has 96 divisors (see below), whose sum is σ = 130201344. Its totient is φ = 16189440.

The previous prime is 47719831. The next prime is 47719853. The reversal of 47719840 is 4891774.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 47719793 and 47719802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153285 + ... + 153595.

It is an arithmetic number, because the mean of its divisors is an integer number (1356264).

Almost surely, 2^47719840 is an apocalyptic number.

47719840 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 47719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100672).

47719840 is an abundant number, since it is smaller than the sum of its proper divisors (82481504).

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

47719840 is a wasteful number, since it uses less digits than its factorization.

47719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 47719840 is about 6907.9548348263. The cubic root of 47719840 is about 362.7156766475.

The spelling of 47719840 in words is "forty-seven million, seven hundred nineteen thousand, eight hundred forty".