412586664 has 96 divisors (see below), whose sum is σ = 1215331200. Its totient is φ = 116363520.

The previous prime is 412586623. The next prime is 412586711. The reversal of 412586664 is 466685214.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 90684 + ... + 95124.

It is an arithmetic number, because the mean of its divisors is an integer number (12659700).

Almost surely, 2^412586664 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 412586664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607665600).

412586664 is an abundant number, since it is smaller than the sum of its proper divisors (802744536).

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

412586664 is a wasteful number, since it uses less digits than its factorization.

412586664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4532 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 412586664 is about 20312.2294197363. The cubic root of 412586664 is about 744.4549044808.

The spelling of 412586664 in words is "four hundred twelve million, five hundred eighty-six thousand, six hundred sixty-four".