1301978448 has 120 divisors (see below), whose sum is σ = 3796298688. Its totient is φ = 431972352.

The previous prime is 1301978441. The next prime is 1301978453. The reversal of 1301978448 is 8448791031.

It is a happy number.

1301978448 is a `hidden beast` number, since 13 + 0 + 197 + 8 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301978441) 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, 998565 + ... + 999867.

Almost surely, 2^1301978448 is an apocalyptic number.

1301978448 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 1301978448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898149344).

1301978448 is an abundant number, since it is smaller than the sum of its proper divisors (2494320240).

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

1301978448 is a wasteful number, since it uses less digits than its factorization.

1301978448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1301978448 is about 36082.9384612728. The cubic root of 1301978448 is about 1091.9462598840.

The spelling of 1301978448 in words is "one billion, three hundred one million, nine hundred seventy-eight thousand, four hundred forty-eight".