412841688 has 64 divisors (see below), whose sum is σ = 1183714560. Its totient is φ = 117538176.

The previous prime is 412841687. The next prime is 412841711. The reversal of 412841688 is 886148214.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412841687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45031 + ... + 53417.

It is an arithmetic number, because the mean of its divisors is an integer number (18495540).

Almost surely, 2^412841688 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 412841688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591857280).

412841688 is an abundant number, since it is smaller than the sum of its proper divisors (770872872).

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

412841688 is a wasteful number, since it uses less digits than its factorization.

412841688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8692 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 412841688 is about 20318.5060474435. The cubic root of 412841688 is about 744.6082579301.

The spelling of 412841688 in words is "four hundred twelve million, eight hundred forty-one thousand, six hundred eighty-eight".