413462016 has 160 divisors (see below), whose sum is σ = 1335628800. Its totient is φ = 125245440.

The previous prime is 413462011. The next prime is 413462167. The reversal of 413462016 is 610264314.

413462016 is a `hidden beast` number, since 4 + 1 + 34 + 620 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413462011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150705 + ... + 153423.

It is an arithmetic number, because the mean of its divisors is an integer number (8347680).

Almost surely, 2^413462016 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 413462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667814400).

413462016 is an abundant number, since it is smaller than the sum of its proper divisors (922166784).

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

413462016 is a wasteful number, since it uses less digits than its factorization.

413462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2735 counting only the distinct ones).

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

The square root of 413462016 is about 20333.7654161742. The cubic root of 413462016 is about 744.9810159870.

The spelling of 413462016 in words is "four hundred thirteen million, four hundred sixty-two thousand, sixteen".