417720 has 48 divisors (see below), whose sum is σ = 1274760. Its totient is φ = 109504.

The previous prime is 417719. The next prime is 417721. The reversal of 417720 is 27714.

It is an interprime number because it is at equal distance from previous prime (417719) and next prime (417721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417721) 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, 7051 + ... + 7109.

2⁴¹⁷⁷²⁰ is an apocalyptic number.

417720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637380).

417720 is an abundant number, since it is smaller than the sum of its proper divisors (857040).

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

417720 is a wasteful number, since it uses less digits than its factorization.

417720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 417720 is about 646.3126178561. The cubic root of 417720 is about 74.7529649872.

The spelling of 417720 in words is "four hundred seventeen thousand, seven hundred twenty", and thus it is an iban number.