409972434 has 8 divisors (see below), whose sum is σ = 819944880. Its totient is φ = 136657476.

The previous prime is 409972417. The next prime is 409972439. The reversal of 409972434 is 434279904.

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

409972434 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (409972439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34164364 + ... + 34164375.

It is an arithmetic number, because the mean of its divisors is an integer number (102493110).

Almost surely, 2^409972434 is an apocalyptic number.

409972434 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409972434 is a wasteful number, since it uses less digits than its factorization.

409972434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68328744.

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 409972434 is about 20247.7760260232. The cubic root of 409972434 is about 742.8792344480.

The spelling of 409972434 in words is "four hundred nine million, nine hundred seventy-two thousand, four hundred thirty-four".