1306484448 has 72 divisors (see below), whose sum is σ = 3458325528. Its totient is φ = 431866368.

The previous prime is 1306484447. The next prime is 1306484461. The reversal of 1306484448 is 8444846031.

It is a super-2 number, since 2×1306484448² = 3413803225731729408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306484447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130990 + ... + 2131602.

It is an arithmetic number, because the mean of its divisors is an integer number (48032299).

Almost surely, 2^1306484448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729162764).

1306484448 is an abundant number, since it is smaller than the sum of its proper divisors (2151841080).

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

1306484448 is an equidigital number, since it uses as much as digits as its factorization.

1306484448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 1306484448 is about 36145.3240129342. The cubic root of 1306484448 is about 1093.2045102367.

The spelling of 1306484448 in words is "one billion, three hundred six million, four hundred eighty-four thousand, four hundred forty-eight".