412065792 has 224 divisors, whose sum is σ = 1289669760. Its totient is φ = 131383296.

The previous prime is 412065791. The next prime is 412065799. The reversal of 412065792 is 297560214.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412065791) 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, 17915893 + ... + 17915915.

Almost surely, 2^412065792 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 412065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644834880).

412065792 is an abundant number, since it is smaller than the sum of its proper divisors (877603968).

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

412065792 is an frugal number, since it uses more digits than its factorization.

412065792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 412065792 is about 20299.4037350854. The cubic root of 412065792 is about 744.1414923404.

The spelling of 412065792 in words is "four hundred twelve million, sixty-five thousand, seven hundred ninety-two".