413510064 has 80 divisors (see below), whose sum is σ = 1182840960. Its totient is φ = 123425280.

The previous prime is 413510029. The next prime is 413510093. The reversal of 413510064 is 460015314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29532 + ... + 41220.

It is an arithmetic number, because the mean of its divisors is an integer number (14785512).

Almost surely, 2^413510064 is an apocalyptic number.

413510064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413510064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591420480).

413510064 is an abundant number, since it is smaller than the sum of its proper divisors (769330896).

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

413510064 is a wasteful number, since it uses less digits than its factorization.

413510064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 413510064 is about 20334.9468649416. The cubic root of 413510064 is about 745.0098726977.

Adding to 413510064 its reverse (460015314), we get a palindrome (873525378).

The spelling of 413510064 in words is "four hundred thirteen million, five hundred ten thousand, sixty-four".