412287720 has 128 divisors (see below), whose sum is σ = 1343139840. Its totient is φ = 100638720.

The previous prime is 412287709. The next prime is 412287767. The reversal of 412287720 is 27782214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197080 + ... + 199160.

It is an arithmetic number, because the mean of its divisors is an integer number (10493280).

Almost surely, 2^412287720 is an apocalyptic number.

412287720 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 412287720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671569920).

412287720 is an abundant number, since it is smaller than the sum of its proper divisors (930852120).

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

412287720 is a wasteful number, since it uses less digits than its factorization.

412287720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 412287720 is about 20304.8693667307. The cubic root of 412287720 is about 744.2750601649.

The spelling of 412287720 in words is "four hundred twelve million, two hundred eighty-seven thousand, seven hundred twenty".