412417128 has 64 divisors (see below), whose sum is σ = 1063085760. Its totient is φ = 133249536.

The previous prime is 412417121. The next prime is 412417147. The reversal of 412417128 is 821714214.

It is a junction number, because it is equal to n+sod(n) for n = 412417095 and 412417104.

It is not an unprimeable number, because it can be changed into a prime (412417121) 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, 139926 + ... + 142842.

It is an arithmetic number, because the mean of its divisors is an integer number (16610715).

Almost surely, 2^412417128 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 412417128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531542880).

412417128 is an abundant number, since it is smaller than the sum of its proper divisors (650668632).

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

412417128 is a wasteful number, since it uses less digits than its factorization.

412417128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3102 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 412417128 is about 20308.0557415032. The cubic root of 412417128 is about 744.3529225144.

The spelling of 412417128 in words is "four hundred twelve million, four hundred seventeen thousand, one hundred twenty-eight".