412126416 has 120 divisors (see below), whose sum is σ = 1307589920. Its totient is φ = 120123648.

The previous prime is 412126373. The next prime is 412126433. The reversal of 412126416 is 614621214.

412126416 is a `hidden beast` number, since 4 + 1 + 2 + 12 + 641 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 412126416.

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, 29775 + ... + 41361.

Almost surely, 2^412126416 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 412126416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653794960).

412126416 is an abundant number, since it is smaller than the sum of its proper divisors (895463504).

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

412126416 is a wasteful number, since it uses less digits than its factorization.

412126416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11624 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 412126416 is about 20300.8969259981. The cubic root of 412126416 is about 744.1779837798.

The spelling of 412126416 in words is "four hundred twelve million, one hundred twenty-six thousand, four hundred sixteen".