412941312 has 264 divisors, whose sum is σ = 1407615456. Its totient is φ = 114130944.

The previous prime is 412941293. The next prime is 412941409. The reversal of 412941312 is 213149214.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386858 + ... + 2387030.

Almost surely, 2^412941312 is an apocalyptic number.

412941312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703807728).

412941312 is an abundant number, since it is smaller than the sum of its proper divisors (994674144).

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

412941312 is a wasteful number, since it uses less digits than its factorization.

412941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 412941312 is about 20320.9574577577. The cubic root of 412941312 is about 744.6681476239.

The spelling of 412941312 in words is "four hundred twelve million, nine hundred forty-one thousand, three hundred twelve".