1305294240 has 96 divisors (see below), whose sum is σ = 4207363776. Its totient is φ = 339978240.

The previous prime is 1305294233. The next prime is 1305294241. The reversal of 1305294240 is 424925031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1305294198 and 1305294207.

It is not an unprimeable number, because it can be changed into a prime (1305294241) 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, 10981 + ... + 52260.

It is an arithmetic number, because the mean of its divisors is an integer number (43826706).

Almost surely, 2^1305294240 is an apocalyptic number.

1305294240 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 1305294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103681888).

1305294240 is an abundant number, since it is smaller than the sum of its proper divisors (2902069536).

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

1305294240 is a wasteful number, since it uses less digits than its factorization.

1305294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63302 (or 63294 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1305294240 is about 36128.8560571740. The cubic root of 1305294240 is about 1092.8724394214.

The spelling of 1305294240 in words is "one billion, three hundred five million, two hundred ninety-four thousand, two hundred forty".