340585458409 has 27 divisors (see below), whose sum is σ = 398961948567. Its totient is φ = 289902976944.

The previous prime is 340585458391. The next prime is 340585458413. The reversal of 340585458409 is 904854585043.

The square root of 340585458409 is 583597.

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., 19064705625 + 321520752784 = 138075^2 + 567028^2 .

It is not a de Polignac number, because 340585458409 - 2⁷ = 340585458281 is a prime.

It is a super-2 number, since 2×340585458409² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340585458409.

It is not an unprimeable number, because it can be changed into a prime (340585458419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1074401919 + ... + 1074402235.

Almost surely, 2^340585458409 is an apocalyptic number.

340585458409 is the 583597-th square number.

340585458409 is the 291799-th centered octagonal number.

It is an amenable number.

340585458409 is a deficient number, since it is larger than the sum of its proper divisors (58376490158).

340585458409 is an frugal number, since it uses more digits than its factorization.

340585458409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 55.

The spelling of 340585458409 in words is "three hundred forty billion, five hundred eighty-five million, four hundred fifty-eight thousand, four hundred nine".