417852 has 48 divisors (see below), whose sum is σ = 1118880. Its totient is φ = 134784.

The previous prime is 417839. The next prime is 417863. The reversal of 417852 is 258714.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 417852.

It is an unprimeable number.

417852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5688 + ... + 5760.

It is an arithmetic number, because the mean of its divisors is an integer number (23310).

2⁴¹⁷⁸⁵² 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 417852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559440).

417852 is an abundant number, since it is smaller than the sum of its proper divisors (701028).

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

417852 is a wasteful number, since it uses less digits than its factorization.

417852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 417852 is about 646.4147275550. The cubic root of 417852 is about 74.7608381655.

The spelling of 417852 in words is "four hundred seventeen thousand, eight hundred fifty-two".