417050064 has 60 divisors (see below), whose sum is σ = 1173682692. Its totient is φ = 138240000.

The previous prime is 417050063. The next prime is 417050083. The reversal of 417050064 is 460050714.

It can be written as a sum of positive squares in 2 ways, for example, as 148352400 + 268697664 = 12180^2 + 16392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417050063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18064 + ... + 34064.

Almost surely, 2^417050064 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 417050064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586841346).

417050064 is an abundant number, since it is smaller than the sum of its proper divisors (756632628).

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

417050064 is a wasteful number, since it uses less digits than its factorization.

417050064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16196 (or 16187 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 417050064 is about 20421.8036421860. The cubic root of 417050064 is about 747.1298086807.

The spelling of 417050064 in words is "four hundred seventeen million, fifty thousand, sixty-four".