1305416240 has 80 divisors (see below), whose sum is σ = 3134799360. Its totient is φ = 505175040.

The previous prime is 1305416227. The next prime is 1305416243. The reversal of 1305416240 is 426145031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1305416240² = 3408223119311475200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1305416243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564206 + ... + 566514.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^1305416240 is an apocalyptic number.

1305416240 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 1305416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567399680).

1305416240 is an abundant number, since it is smaller than the sum of its proper divisors (1829383120).

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

1305416240 is a wasteful number, since it uses less digits than its factorization.

1305416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1305416240 is about 36130.5444188155. The cubic root of 1305416240 is about 1092.9064869896.

The spelling of 1305416240 in words is "one billion, three hundred five million, four hundred sixteen thousand, two hundred forty".