1027394809 has 27 divisors (see below), whose sum is σ = 1266600591. Its totient is φ = 830813760.

The previous prime is 1027394801. The next prime is 1027394827. The reversal of 1027394809 is 9084937201.

The square root of 1027394809 is 32053.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 772673209 + 254721600 = 27797^2 + 15960^2 .

It is not a de Polignac number, because 1027394809 - 2³ = 1027394801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1027394801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4262929 + ... + 4263169.

It is an arithmetic number, because the mean of its divisors is an integer number (46911133).

Almost surely, 2^1027394809 is an apocalyptic number.

1027394809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1027394809 is the 32053-rd square number.

1027394809 is the 16027-th centered octagonal number.

It is an amenable number.

1027394809 is a deficient number, since it is larger than the sum of its proper divisors (239205782).

1027394809 is an frugal number, since it uses more digits than its factorization.

1027394809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The cubic root of 1027394809 is about 1009.0494631874.

The spelling of 1027394809 in words is "one billion, twenty-seven million, three hundred ninety-four thousand, eight hundred nine".