417489940 has 96 divisors (see below), whose sum is σ = 1028934144. Its totient is φ = 139345920.

The previous prime is 417489937. The next prime is 417489949. The reversal of 417489940 is 49984714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417489949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963964 + ... + 964396.

It is an arithmetic number, because the mean of its divisors is an integer number (10718064).

Almost surely, 2^417489940 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 417489940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514467072).

417489940 is an abundant number, since it is smaller than the sum of its proper divisors (611444204).

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

417489940 is a wasteful number, since it uses less digits than its factorization.

417489940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 417489940 is about 20432.5705676011. The cubic root of 417489940 is about 747.3923902617.

The spelling of 417489940 in words is "four hundred seventeen million, four hundred eighty-nine thousand, nine hundred forty".