412402120 has 64 divisors (see below), whose sum is σ = 1012032000. Its totient is φ = 150329088.

The previous prime is 412402117. The next prime is 412402129. The reversal of 412402120 is 21204214.

It is a junction number, because it is equal to n+sod(n) for n = 412402094 and 412402103.

It is not an unprimeable number, because it can be changed into a prime (412402129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36061 + ... + 46099.

It is an arithmetic number, because the mean of its divisors is an integer number (15813000).

Almost surely, 2^412402120 is an apocalyptic number.

412402120 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 412402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506016000).

412402120 is an abundant number, since it is smaller than the sum of its proper divisors (599629880).

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

412402120 is a wasteful number, since it uses less digits than its factorization.

412402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 412402120 is about 20307.6862296028. The cubic root of 412402120 is about 744.3438933193.

Adding to 412402120 its reverse (21204214), we get a palindrome (433606334).

The spelling of 412402120 in words is "four hundred twelve million, four hundred two thousand, one hundred twenty".