417909942 has 48 divisors (see below), whose sum is σ = 941129280. Its totient is φ = 138988872.

The previous prime is 417909937. The next prime is 417909953. The reversal of 417909942 is 249909714.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331309 + ... + 332567.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 2^417909942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417909942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

417909942 is an abundant number, since it is smaller than the sum of its proper divisors (523219338).

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

417909942 is a wasteful number, since it uses less digits than its factorization.

417909942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1947 counting only the distinct ones).

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

The square root of 417909942 is about 20442.8457412367. The cubic root of 417909942 is about 747.6429360931.

The spelling of 417909942 in words is "four hundred seventeen million, nine hundred nine thousand, nine hundred forty-two".