166413408 has 144 divisors (see below), whose sum is σ = 538305264. Its totient is φ = 44728320.

The previous prime is 166413389. The next prime is 166413409. The reversal of 166413408 is 804314661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166413409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78928 + ... + 81008.

It is an arithmetic number, because the mean of its divisors is an integer number (3738231).

Almost surely, 2^166413408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269152632).

166413408 is an abundant number, since it is smaller than the sum of its proper divisors (371891856).

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

166413408 is a wasteful number, since it uses less digits than its factorization.

166413408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 166413408 is about 12900.1320923470. The cubic root of 166413408 is about 550.0423196087.

The spelling of 166413408 in words is "one hundred sixty-six million, four hundred thirteen thousand, four hundred eight".