413036064 has 192 divisors, whose sum is σ = 1421844480. Its totient is φ = 114151680.

The previous prime is 413036051. The next prime is 413036089. The reversal of 413036064 is 460630314.

It is a super-2 number, since 2×413036064² = 341197580329224192, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 186387 + ... + 188589.

It is an arithmetic number, because the mean of its divisors is an integer number (7405440).

Almost surely, 2^413036064 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 413036064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710922240).

413036064 is an abundant number, since it is smaller than the sum of its proper divisors (1008808416).

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

413036064 is a wasteful number, since it uses less digits than its factorization.

413036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 413036064 is about 20323.2887102457. The cubic root of 413036064 is about 744.7250995428.

Adding to 413036064 its reverse (460630314), we get a palindrome (873666378).

The spelling of 413036064 in words is "four hundred thirteen million, thirty-six thousand, sixty-four".