1271584460 has 24 divisors (see below), whose sum is σ = 2762408880. Its totient is φ = 491094464.

The previous prime is 1271584423. The next prime is 1271584471. The reversal of 1271584460 is 644851721.

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 7 ways as a sum of consecutive naturals, for example, 1095614 + ... + 1096773.

It is an arithmetic number, because the mean of its divisors is an integer number (115100370).

Almost surely, 2^1271584460 is an apocalyptic number.

1271584460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1271584460 is an abundant number, since it is smaller than the sum of its proper divisors (1490824420).

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

1271584460 is a wasteful number, since it uses less digits than its factorization.

1271584460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192425 (or 2192423 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 1271584460 is about 35659.2829428748. The cubic root of 1271584460 is about 1083.3823033222.

The spelling of 1271584460 in words is "one billion, two hundred seventy-one million, five hundred eighty-four thousand, four hundred sixty".