1305079340 has 48 divisors (see below), whose sum is σ = 2880541440. Its totient is φ = 495718080.

The previous prime is 1305079333. The next prime is 1305079397. The reversal of 1305079340 is 439705031.

It is a happy number.

It is a super-4 number, since 4×1305079340⁴ (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305079297 and 1305079306.

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 15 ways as a sum of consecutive naturals, for example, 53735 + ... + 74145.

It is an arithmetic number, because the mean of its divisors is an integer number (60011280).

Almost surely, 2^1305079340 is an apocalyptic number.

1305079340 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 1305079340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440270720).

1305079340 is an abundant number, since it is smaller than the sum of its proper divisors (1575462100).

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

1305079340 is a wasteful number, since it uses less digits than its factorization.

1305079340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582 (or 20580 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 1305079340 is about 36125.8818577485. The cubic root of 1305079340 is about 1092.8124603072.

The spelling of 1305079340 in words is "one billion, three hundred five million, seventy-nine thousand, three hundred forty".