1300459680 has 288 divisors, whose sum is σ = 4825626624. Its totient is φ = 317011968.

The previous prime is 1300459679. The next prime is 1300459681. The reversal of 1300459680 is 869540031.

It is an interprime number because it is at equal distance from previous prime (1300459679) and next prime (1300459681).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1300459681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2377167 + ... + 2377713.

It is an arithmetic number, because the mean of its divisors is an integer number (16755648).

Almost surely, 2^1300459680 is an apocalyptic number.

1300459680 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 1300459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412813312).

1300459680 is an abundant number, since it is smaller than the sum of its proper divisors (3525166944).

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

1300459680 is a wasteful number, since it uses less digits than its factorization.

1300459680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1300459680 is about 36061.8868058786. The cubic root of 1300459680 is about 1091.5215067430.

The spelling of 1300459680 in words is "one billion, three hundred million, four hundred fifty-nine thousand, six hundred eighty".