413987064 has 64 divisors (see below), whose sum is σ = 1076112000. Its totient is φ = 132558720.

The previous prime is 413987047. The next prime is 413987069. The reversal of 413987064 is 460789314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413987069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145447 + ... + 148265.

It is an arithmetic number, because the mean of its divisors is an integer number (16814250).

Almost surely, 2^413987064 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 413987064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538056000).

413987064 is an abundant number, since it is smaller than the sum of its proper divisors (662124936).

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

413987064 is a wasteful number, since it uses less digits than its factorization.

413987064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 413987064 is about 20346.6720620351. The cubic root of 413987064 is about 745.2962286081.

The spelling of 413987064 in words is "four hundred thirteen million, nine hundred eighty-seven thousand, sixty-four".