413284014 has 96 divisors (see below), whose sum is σ = 1057440384. Its totient is φ = 115007040.

The previous prime is 413284007. The next prime is 413284037. The reversal of 413284014 is 410482314.

It is a super-3 number, since 3×413284014³ (a number of 27 digits) contains 333 as substring.

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, 789957 + ... + 790479.

It is an arithmetic number, because the mean of its divisors is an integer number (11015004).

Almost surely, 2^413284014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413284014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528720192).

413284014 is an abundant number, since it is smaller than the sum of its proper divisors (644156370).

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

413284014 is a wasteful number, since it uses less digits than its factorization.

413284014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 413284014 is about 20329.3879396306. The cubic root of 413284014 is about 744.8740919003.

The spelling of 413284014 in words is "four hundred thirteen million, two hundred eighty-four thousand, fourteen".