417491712 has 432 divisors, whose sum is σ = 1506019200. Its totient is φ = 112803840.

The previous prime is 417491689. The next prime is 417491719. The reversal of 417491712 is 217194714.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (417491719) 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 47 ways as a sum of consecutive naturals, for example, 21973239 + ... + 21973257.

Almost surely, 2^417491712 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 417491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753009600).

417491712 is an abundant number, since it is smaller than the sum of its proper divisors (1088527488).

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

417491712 is a wasteful number, since it uses less digits than its factorization.

417491712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 417491712 is about 20432.6139296958. The cubic root of 417491712 is about 747.3934476743.

The spelling of 417491712 in words is "four hundred seventeen million, four hundred ninety-one thousand, seven hundred twelve".