409984375 has 28 divisors (see below), whose sum is σ = 539836840. Its totient is φ = 310500000.

The previous prime is 409984373. The next prime is 409984381. The reversal of 409984375 is 573489904.

It is not a de Polignac number, because 409984375 - 2¹ = 409984373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409984373) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 296185 + ... + 297565.

Almost surely, 2^409984375 is an apocalyptic number.

409984375 is a deficient number, since it is larger than the sum of its proper divisors (129852465).

409984375 is an frugal number, since it uses more digits than its factorization.

409984375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 409984375 is about 20248.0708957668. The cubic root of 409984375 is about 742.8864468311.

The spelling of 409984375 in words is "four hundred nine million, nine hundred eighty-four thousand, three hundred seventy-five".