409525401 has 16 divisors (see below), whose sum is σ = 559759680. Its totient is φ = 266238720.

The previous prime is 409525399. The next prime is 409525423. The reversal of 409525401 is 104525904.

It is not a de Polignac number, because 409525401 - 2¹ = 409525399 is a prime.

It is a super-3 number, since 3×409525401³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (409525481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8986 + ... + 29996.

It is an arithmetic number, because the mean of its divisors is an integer number (34984980).

Almost surely, 2^409525401 is an apocalyptic number.

It is an amenable number.

409525401 is a deficient number, since it is larger than the sum of its proper divisors (150234279).

409525401 is a wasteful number, since it uses less digits than its factorization.

409525401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21176.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 409525401 is about 20236.7339509121. The cubic root of 409525401 is about 742.6091249785.

The spelling of 409525401 in words is "four hundred nine million, five hundred twenty-five thousand, four hundred one".