1305228240 has 60 divisors (see below), whose sum is σ = 4383393924. Its totient is φ = 348060672.

The previous prime is 1305228233. The next prime is 1305228271. The reversal of 1305228240 is 428225031.

1305228240 is a `hidden beast` number, since 130 + 522 + 8 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158457744 + 1146770496 = 12588^2 + 33864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905689 + ... + 907128.

Almost surely, 2^1305228240 is an apocalyptic number.

1305228240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305228240 is an abundant number, since it is smaller than the sum of its proper divisors (3078165684).

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

1305228240 is a wasteful number, since it uses less digits than its factorization.

1305228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812836 (or 1812827 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1305228240 is about 36127.9426483159. The cubic root of 1305228240 is about 1092.8540193609.

The spelling of 1305228240 in words is "one billion, three hundred five million, two hundred twenty-eight thousand, two hundred forty".