412412520 has 128 divisors (see below), whose sum is σ = 1410877440. Its totient is φ = 95539200.

The previous prime is 412412513. The next prime is 412412531. The reversal of 412412520 is 25214214.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18745 + ... + 34295.

It is an arithmetic number, because the mean of its divisors is an integer number (11022480).

Almost surely, 2^412412520 is an apocalyptic number.

412412520 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 412412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705438720).

412412520 is an abundant number, since it is smaller than the sum of its proper divisors (998464920).

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

412412520 is a wasteful number, since it uses less digits than its factorization.

412412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15595 (or 15591 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 412412520 is about 20307.9422886712. The cubic root of 412412520 is about 744.3501502475.

Adding to 412412520 its reverse (25214214), we get a palindrome (437626734).

The spelling of 412412520 in words is "four hundred twelve million, four hundred twelve thousand, five hundred twenty".