409252901 has 8 divisors (see below), whose sum is σ = 423905400. Its totient is φ = 394636480.

The previous prime is 409252897. The next prime is 409252903. The reversal of 409252901 is 109252904.

It is a Cunningham number, because it is equal to 20230²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 111724900 + 297528001 = 10570^2 + 17249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 409252901 - 2² = 409252897 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409252903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15215 + ... + 32403.

It is an arithmetic number, because the mean of its divisors is an integer number (52988175).

Almost surely, 2^409252901 is an apocalyptic number.

It is an amenable number.

409252901 is a deficient number, since it is larger than the sum of its proper divisors (14652499).

409252901 is a wasteful number, since it uses less digits than its factorization.

409252901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18039.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 409252901 is about 20230.0000247158. Note that the first 4 decimals coincide. The cubic root of 409252901 is about 742.4443766409. Note that the first 3 decimals are identical.

The spelling of 409252901 in words is "four hundred nine million, two hundred fifty-two thousand, nine hundred one".