412145664 has 216 divisors, whose sum is σ = 1313659620. Its totient is φ = 114573312.

The previous prime is 412145659. The next prime is 412145681. The reversal of 412145664 is 466541214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11139054 + ... + 11139090.

Almost surely, 2^412145664 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 412145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656829810).

412145664 is an abundant number, since it is smaller than the sum of its proper divisors (901513956).

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

412145664 is an equidigital number, since it uses as much as digits as its factorization.

412145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 49 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 412145664 is about 20301.3709881870. The cubic root of 412145664 is about 744.1895689911.

Adding to 412145664 its reverse (466541214), we get a palindrome (878686878).

The spelling of 412145664 in words is "four hundred twelve million, one hundred forty-five thousand, six hundred sixty-four".