10202409 has 32 divisors (see below), whose sum is σ = 18032640. Its totient is φ = 5574096.

The previous prime is 10202393. The next prime is 10202419. The reversal of 10202409 is 90420201.

It is not a de Polignac number, because 10202409 - 2⁴ = 10202393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202391 and 10202400.

It is not an unprimeable number, because it can be changed into a prime (10202419) 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 31 ways as a sum of consecutive naturals, for example, 3174 + ... + 5520.

It is an arithmetic number, because the mean of its divisors is an integer number (563520).

Almost surely, 2^10202409 is an apocalyptic number.

It is an amenable number.

10202409 is a deficient number, since it is larger than the sum of its proper divisors (7830231).

10202409 is a wasteful number, since it uses less digits than its factorization.

10202409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10202409 is about 3194.1210058481. The cubic root of 10202409 is about 216.8873604009.

The spelling of 10202409 in words is "ten million, two hundred two thousand, four hundred nine".