417996 has 36 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 130944.

The previous prime is 417983. The next prime is 417997. The reversal of 417996 is 699714.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 417996.

It is not an unprimeable number, because it can be changed into a prime (417997) 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, 271 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁴¹⁷⁹⁹⁶ 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 417996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

417996 is an abundant number, since it is smaller than the sum of its proper divisors (702396).

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

417996 is a wasteful number, since it uses less digits than its factorization.

417996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 705 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 417996 is about 646.5261015613. The cubic root of 417996 is about 74.7694251966.

417996 divided by its sum of digits (36) gives a palindrome (11611).

The spelling of 417996 in words is "four hundred seventeen thousand, nine hundred ninety-six".