412661844 has 96 divisors (see below), whose sum is σ = 1241103360. Its totient is φ = 116129376.

The previous prime is 412661813. The next prime is 412661849. The reversal of 412661844 is 448166214.

It is a happy number.

412661844 is a `hidden beast` number, since 412 + 66 + 184 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 412661799 and 412661808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412661849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46579 + ... + 54725.

It is an arithmetic number, because the mean of its divisors is an integer number (12928160).

Almost surely, 2^412661844 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 412661844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620551680).

412661844 is an abundant number, since it is smaller than the sum of its proper divisors (828441516).

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

412661844 is a wasteful number, since it uses less digits than its factorization.

412661844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234 (or 8226 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 412661844 is about 20314.0799447083. The cubic root of 412661844 is about 744.5001189981.

The spelling of 412661844 in words is "four hundred twelve million, six hundred sixty-one thousand, eight hundred forty-four".