417440712 has 128 divisors (see below), whose sum is σ = 1198834560. Its totient is φ = 119992320.

The previous prime is 417440711. The next prime is 417440713. The reversal of 417440712 is 217044714.

It is an interprime number because it is at equal distance from previous prime (417440711) and next prime (417440713).

It is a self number, because there is not a number n which added to its sum of digits gives 417440712.

It is not an unprimeable number, because it can be changed into a prime (417440711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118958 + ... + 1119330.

It is an arithmetic number, because the mean of its divisors is an integer number (9365895).

Almost surely, 2^417440712 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 417440712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599417280).

417440712 is an abundant number, since it is smaller than the sum of its proper divisors (781393848).

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

417440712 is a wasteful number, since it uses less digits than its factorization.

417440712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 417440712 is about 20431.3658867928. The cubic root of 417440712 is about 747.3630130438.

The spelling of 417440712 in words is "four hundred seventeen million, four hundred forty thousand, seven hundred twelve".