414161064 has 96 divisors (see below), whose sum is σ = 1169532000. Its totient is φ = 132241536.

The previous prime is 414161063. The next prime is 414161081. The reversal of 414161064 is 460161414.

414161064 is a `hidden beast` number, since 4 + 1 + 41 + 610 + 6 + 4 = 666.

It is a super-2 number, since 2×414161064² = 343058773867224192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414161063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289519 + ... + 290945.

It is an arithmetic number, because the mean of its divisors is an integer number (12182625).

Almost surely, 2^414161064 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 414161064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584766000).

414161064 is an abundant number, since it is smaller than the sum of its proper divisors (755370936).

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

414161064 is a wasteful number, since it uses less digits than its factorization.

414161064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 414161064 is about 20350.9474963698. The cubic root of 414161064 is about 745.4006307266.

The spelling of 414161064 in words is "four hundred fourteen million, one hundred sixty-one thousand, sixty-four".