414296064 has 432 divisors, whose sum is σ = 1558720800. Its totient is φ = 103514112.

The previous prime is 414296039. The next prime is 414296087. The reversal of 414296064 is 460692414.

414296064 is a `hidden beast` number, since 4 + 1 + 42 + 9 + 606 + 4 = 666.

It is a super-3 number, since 3×414296064³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21805047 + ... + 21805065.

It is an arithmetic number, because the mean of its divisors is an integer number (3608150).

Almost surely, 2^414296064 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 414296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779360400).

414296064 is an abundant number, since it is smaller than the sum of its proper divisors (1144424736).

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

414296064 is a wasteful number, since it uses less digits than its factorization.

414296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 414296064 is about 20354.2640250145. The cubic root of 414296064 is about 745.4816122272.

The spelling of 414296064 in words is "four hundred fourteen million, two hundred ninety-six thousand, sixty-four".