409799493 has 20 divisors (see below), whose sum is σ = 633282540. Its totient is φ = 263777472.

The previous prime is 409799479. The next prime is 409799497. The reversal of 409799493 is 394997904.

It can be written as a sum of positive squares in 2 ways, for example, as 118004769 + 291794724 = 10863^2 + 17082^2 .

It is not a de Polignac number, because 409799493 - 2¹⁴ = 409783109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409799497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84880 + ... + 89577.

It is an arithmetic number, because the mean of its divisors is an integer number (31664127).

Almost surely, 2^409799493 is an apocalyptic number.

It is an amenable number.

409799493 is a deficient number, since it is larger than the sum of its proper divisors (223483047).

409799493 is a wasteful number, since it uses less digits than its factorization.

409799493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174498 (or 174489 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 409799493 is about 20243.5049583811. The cubic root of 409799493 is about 742.7747621012.

The spelling of 409799493 in words is "four hundred nine million, seven hundred ninety-nine thousand, four hundred ninety-three".