1947908448 has 72 divisors (see below), whose sum is σ = 5560643088. Its totient is φ = 646808832.

The previous prime is 1947908447. The next prime is 1947908513. The reversal of 1947908448 is 8448097491.

1947908448 is a `hidden beast` number, since 194 + 7 + 9 + 0 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1947908394 and 1947908403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1947908441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62886 + ... + 88602.

It is an arithmetic number, because the mean of its divisors is an integer number (77231154).

Almost surely, 2^1947908448 is an apocalyptic number.

1947908448 is a gapful number since it is divisible by the number (18) 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 1947908448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780321544).

1947908448 is an abundant number, since it is smaller than the sum of its proper divisors (3612734640).

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

1947908448 is a wasteful number, since it uses less digits than its factorization.

1947908448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25996 (or 25985 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1947908448 is about 44135.1158149608. The cubic root of 1947908448 is about 1248.8861433268.

The spelling of 1947908448 in words is "one billion, nine hundred forty-seven million, nine hundred eight thousand, four hundred forty-eight".