412810506 has 40 divisors (see below), whose sum is σ = 928513344. Its totient is φ = 137081160.

The previous prime is 412810499. The next prime is 412810513. The reversal of 412810506 is 605018214.

It is an interprime number because it is at equal distance from previous prime (412810499) and next prime (412810513).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 412810506.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39201 + ... + 48603.

Almost surely, 2^412810506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412810506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256672).

412810506 is an abundant number, since it is smaller than the sum of its proper divisors (515702838).

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

412810506 is a wasteful number, since it uses less digits than its factorization.

412810506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 412810506 is about 20317.7387029167. The cubic root of 412810506 is about 744.5895106637.

The spelling of 412810506 in words is "four hundred twelve million, eight hundred ten thousand, five hundred six".