412080 has 80 divisors (see below), whose sum is σ = 1365984. Its totient is φ = 102400.

The previous prime is 412073. The next prime is 412081. The reversal of 412080 is 80214.

412080 = T₃₅ + T₃₆ + ... + T₁₃₅.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (412081) by changing a digit.

412080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030 + ... + 4130.

2⁴¹²⁰⁸⁰ is an apocalyptic number.

412080 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 412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682992).

412080 is an abundant number, since it is smaller than the sum of its proper divisors (953904).

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

412080 is a wasteful number, since it uses less digits than its factorization.

412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 412080 is about 641.9345761057. The cubic root of 412080 is about 74.4150044891.

412080 divided by its sum of digits (15) gives a palindrome (27472).

Adding to 412080 its reverse (80214), we get a palindrome (492294).

The spelling of 412080 in words is "four hundred twelve thousand, eighty".