416680 has 32 divisors (see below), whose sum is σ = 1023840. Its totient is φ = 151360.

The previous prime is 416677. The next prime is 416693. The reversal of 416680 is 86614.

It is a super-4 number, since 4×416680⁴ (a number of 24 digits) contains 4444 as substring.

It is a plaindrome in base 14.

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, 34 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (31995).

2⁴¹⁶⁶⁸⁰ is an apocalyptic number.

416680 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 416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511920).

416680 is an abundant number, since it is smaller than the sum of its proper divisors (607160).

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

416680 is a wasteful number, since it uses less digits than its factorization.

416680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 416680 is about 645.5075522409. The cubic root of 416680 is about 74.6908757950.

The spelling of 416680 in words is "four hundred sixteen thousand, six hundred eighty".