414156006 has 96 divisors (see below), whose sum is σ = 1062131616. Its totient is φ = 115200000.

The previous prime is 414155983. The next prime is 414156031. The reversal of 414156006 is 600651414.

414156006 is a `hidden beast` number, since 41 + 4 + 15 + 600 + 6 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136506 + ... + 139506.

It is an arithmetic number, because the mean of its divisors is an integer number (11063871).

Almost surely, 2^414156006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414156006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531065808).

414156006 is an abundant number, since it is smaller than the sum of its proper divisors (647975610).

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

414156006 is a wasteful number, since it uses less digits than its factorization.

414156006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 414156006 is about 20350.8232265921. The cubic root of 414156006 is about 745.3975962777.

The spelling of 414156006 in words is "four hundred fourteen million, one hundred fifty-six thousand, six".