417299904 has 112 divisors (see below), whose sum is σ = 1402080000. Its totient is φ = 119225088.

The previous prime is 417299903. The next prime is 417299923. The reversal of 417299904 is 409992714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 417299904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417299903) 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 15 ways as a sum of consecutive naturals, for example, 5154 + ... + 29345.

Almost surely, 2^417299904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417299904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701040000).

417299904 is an abundant number, since it is smaller than the sum of its proper divisors (984780096).

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

417299904 is a wasteful number, since it uses less digits than its factorization.

417299904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34527 (or 34511 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 417299904 is about 20427.9197178763. The cubic root of 417299904 is about 747.2789719471.

The spelling of 417299904 in words is "four hundred seventeen million, two hundred ninety-nine thousand, nine hundred four".