414616146 has 72 divisors (see below), whose sum is σ = 983277360. Its totient is φ = 116212320.

The previous prime is 414616141. The next prime is 414616151. The reversal of 414616146 is 641616414.

It is an interprime number because it is at equal distance from previous prime (414616141) and next prime (414616151).

It is not an unprimeable number, because it can be changed into a prime (414616141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1093785 + ... + 1094163.

It is an arithmetic number, because the mean of its divisors is an integer number (13656630).

Almost surely, 2^414616146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414616146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491638680).

414616146 is an abundant number, since it is smaller than the sum of its proper divisors (568661214).

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

414616146 is a wasteful number, since it uses less digits than its factorization.

414616146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 452 counting only the distinct ones).

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

The square root of 414616146 is about 20362.1252820033. The cubic root of 414616146 is about 745.6735472883.

The spelling of 414616146 in words is "four hundred fourteen million, six hundred sixteen thousand, one hundred forty-six".