412409280 has 112 divisors (see below), whose sum is σ = 1315090080. Its totient is φ = 109498368.

The previous prime is 412409267. The next prime is 412409281. The reversal of 412409280 is 82904214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412409281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257442 + ... + 259038.

Almost surely, 2^412409280 is an apocalyptic number.

412409280 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 412409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657545040).

412409280 is an abundant number, since it is smaller than the sum of its proper divisors (902680800).

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

412409280 is a wasteful number, since it uses less digits than its factorization.

412409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 412409280 is about 20307.8625167692. The cubic root of 412409280 is about 744.3482009850.

The spelling of 412409280 in words is "four hundred twelve million, four hundred nine thousand, two hundred eighty".