416080 has 40 divisors (see below), whose sum is σ = 1107072. Its totient is φ = 142464.

The previous prime is 416077. The next prime is 416089. The reversal of 416080 is 80614.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 931.

2⁴¹⁶⁰⁸⁰ is an apocalyptic number.

416080 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 416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553536).

416080 is an abundant number, since it is smaller than the sum of its proper divisors (690992).

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

416080 is a wasteful number, since it uses less digits than its factorization.

416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 416080 is about 645.0426342499. The cubic root of 416080 is about 74.6550081003.

Adding to 416080 its reverse (80614), we get a palindrome (496694).

The spelling of 416080 in words is "four hundred sixteen thousand, eighty".