417301085952 has 144 divisors (see below), whose sum is σ = 1235653188000. Its totient is φ = 138917707776.

The previous prime is 417301085911. The next prime is 417301085953. The reversal of 417301085952 is 259580103714.

417301085952 is a `hidden beast` number, since 4 + 17 + 30 + 10 + 8 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 417301085898 and 417301085907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417301085953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5276074 + ... + 5354582.

Almost surely, 2^417301085952 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 417301085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617826594000).

417301085952 is an abundant number, since it is smaller than the sum of its proper divisors (818352102048).

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

417301085952 is an equidigital number, since it uses as much as digits as its factorization.

417301085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79303 (or 79283 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 417301085952 in words is "four hundred seventeen billion, three hundred one million, eighty-five thousand, nine hundred fifty-two".