413314146 has 96 divisors (see below), whose sum is σ = 1061019648. Its totient is φ = 113833440.

The previous prime is 413314141. The next prime is 413314199. The reversal of 413314146 is 641413314.

It is not an unprimeable number, because it can be changed into a prime (413314141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419971 + ... + 420953.

It is an arithmetic number, because the mean of its divisors is an integer number (11052288).

Almost surely, 2^413314146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413314146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530509824).

413314146 is an abundant number, since it is smaller than the sum of its proper divisors (647705502).

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

413314146 is a wasteful number, since it uses less digits than its factorization.

413314146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

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

The square root of 413314146 is about 20330.1290207416. The cubic root of 413314146 is about 744.8921940608.

The spelling of 413314146 in words is "four hundred thirteen million, three hundred fourteen thousand, one hundred forty-six".