1301006448 has 180 divisors, whose sum is σ = 4392974040. Its totient is φ = 371661696.

The previous prime is 1301006417. The next prime is 1301006449. The reversal of 1301006448 is 8446001031.

1301006448 is a `hidden beast` number, since 1 + 3 + 0 + 10 + 0 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301006449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187098 + ... + 193926.

Almost surely, 2^1301006448 is an apocalyptic number.

1301006448 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 1301006448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196487020).

1301006448 is an abundant number, since it is smaller than the sum of its proper divisors (3091967592).

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

1301006448 is an equidigital number, since it uses as much as digits as its factorization.

1301006448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1301006448 is about 36069.4669769322. The cubic root of 1301006448 is about 1091.6744591743.

Adding to 1301006448 its reverse (8446001031), we get a palindrome (9747007479).

The spelling of 1301006448 in words is "one billion, three hundred one million, six thousand, four hundred forty-eight".