412099506 has 144 divisors (see below), whose sum is σ = 1131346944. Its totient is φ = 107448768.

The previous prime is 412099481. The next prime is 412099511. The reversal of 412099506 is 605990214.

412099506 is a `hidden beast` number, since 41 + 20 + 99 + 506 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1456041 + ... + 1456323.

It is an arithmetic number, because the mean of its divisors is an integer number (7856576).

Almost surely, 2^412099506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412099506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565673472).

412099506 is an abundant number, since it is smaller than the sum of its proper divisors (719247438).

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

412099506 is a wasteful number, since it uses less digits than its factorization.

412099506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 412099506 is about 20300.2341365808. The cubic root of 412099506 is about 744.1617862696.

The spelling of 412099506 in words is "four hundred twelve million, ninety-nine thousand, five hundred six".