1306752480 has 384 divisors, whose sum is σ = 5055644160. Its totient is φ = 312606720.

The previous prime is 1306752457. The next prime is 1306752527. The reversal of 1306752480 is 842576031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5084512 + ... + 5084768.

It is an arithmetic number, because the mean of its divisors is an integer number (13165740).

Almost surely, 2^1306752480 is an apocalyptic number.

1306752480 is a gapful number since it is divisible by the number (10) 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 1306752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527822080).

1306752480 is an abundant number, since it is smaller than the sum of its proper divisors (3748891680).

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

1306752480 is a wasteful number, since it uses less digits than its factorization.

1306752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1306752480 is about 36149.0315222967. The cubic root of 1306752480 is about 1093.2792639663.

The spelling of 1306752480 in words is "one billion, three hundred six million, seven hundred fifty-two thousand, four hundred eighty".