412364106 has 144 divisors (see below), whose sum is σ = 1194017760. Its totient is φ = 101424960.

The previous prime is 412364089. The next prime is 412364131. The reversal of 412364106 is 601463214.

412364106 is a `hidden beast` number, since 4 + 12 + 3 + 641 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 412364106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183220 + ... + 185456.

It is an arithmetic number, because the mean of its divisors is an integer number (8291790).

Almost surely, 2^412364106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412364106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597008880).

412364106 is an abundant number, since it is smaller than the sum of its proper divisors (781653654).

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

412364106 is a wasteful number, since it uses less digits than its factorization.

412364106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412364106 is about 20306.7502569958. The cubic root of 412364106 is about 744.3210221483.

The spelling of 412364106 in words is "four hundred twelve million, three hundred sixty-four thousand, one hundred six".