412880 has 40 divisors (see below), whose sum is σ = 1036392. Its totient is φ = 152064.

The previous prime is 412859. The next prime is 412891. The reversal of 412880 is 88214.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 394384 = 136^2 + 628^2 .

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

It is a congruent number.

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, 842 + ... + 1238.

2⁴¹²⁸⁸⁰ is an apocalyptic number.

412880 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 412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518196).

412880 is an abundant number, since it is smaller than the sum of its proper divisors (623512).

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

412880 is a wasteful number, since it uses less digits than its factorization.

412880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 412880 is about 642.5573904329. The cubic root of 412880 is about 74.4631290608.

The spelling of 412880 in words is "four hundred twelve thousand, eight hundred eighty".