417680 has 40 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 159104.

The previous prime is 417671. The next prime is 417691. The reversal of 417680 is 86714.

417680 = T₂₁ + T₂₂ + ... + T₁₃₅.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1727 + ... + 1953.

2⁴¹⁷⁶⁸⁰ is an apocalyptic number.

417680 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 417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

417680 is an abundant number, since it is smaller than the sum of its proper divisors (600112).

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

417680 is a wasteful number, since it uses less digits than its factorization.

417680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 417680 is about 646.2816723380. The cubic root of 417680 is about 74.7505788481.

The spelling of 417680 in words is "four hundred seventeen thousand, six hundred eighty".