417081312 has 168 divisors, whose sum is σ = 1297303560. Its totient is φ = 131569920.

The previous prime is 417081289. The next prime is 417081319. The reversal of 417081312 is 213180714.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417081319) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 442762 + ... + 443702.

It is an arithmetic number, because the mean of its divisors is an integer number (7722045).

Almost surely, 2^417081312 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 417081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648651780).

417081312 is an abundant number, since it is smaller than the sum of its proper divisors (880222248).

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

417081312 is an equidigital number, since it uses as much as digits as its factorization.

417081312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 417081312 is about 20422.5686925029. The cubic root of 417081312 is about 747.1484680945.

The spelling of 417081312 in words is "four hundred seventeen million, eighty-one thousand, three hundred twelve".