409149125 has 32 divisors (see below), whose sum is σ = 636629760. Its totient is φ = 255048000.

The previous prime is 409149121. The next prime is 409149133. The reversal of 409149125 is 521941904.

It is not a de Polignac number, because 409149125 - 2² = 409149121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409149121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11630 + ... + 30879.

It is an arithmetic number, because the mean of its divisors is an integer number (19894680).

Almost surely, 2^409149125 is an apocalyptic number.

It is an amenable number.

409149125 is a deficient number, since it is larger than the sum of its proper divisors (227480635).

409149125 is a wasteful number, since it uses less digits than its factorization.

409149125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42542 (or 42532 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 409149125 is about 20227.4349584914. The cubic root of 409149125 is about 742.3816164089.

The spelling of 409149125 in words is "four hundred nine million, one hundred forty-nine thousand, one hundred twenty-five".