1948520448 has 260 divisors, whose sum is σ = 6660265920. Its totient is φ = 556056576.

The previous prime is 1948520443. The next prime is 1948520477. The reversal of 1948520448 is 8440258491.

It is not an unprimeable number, because it can be changed into a prime (1948520443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322013 + ... + 2322851.

Almost surely, 2^1948520448 is an apocalyptic number.

1948520448 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 1948520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330132960).

1948520448 is an abundant number, since it is smaller than the sum of its proper divisors (4711745472).

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

1948520448 is an frugal number, since it uses more digits than its factorization.

1948520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1948520448 is about 44142.0485251874. The cubic root of 1948520448 is about 1249.0169226231.

The spelling of 1948520448 in words is "one billion, nine hundred forty-eight million, five hundred twenty thousand, four hundred forty-eight".