412128960 has 112 divisors (see below), whose sum is σ = 1385535456. Its totient is φ = 103432192.

The previous prime is 412128917. The next prime is 412128961. The reversal of 412128960 is 69821214.

It is not an unprimeable number, because it can be changed into a prime (412128961) 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, 3694 + ... + 28946.

Almost surely, 2^412128960 is an apocalyptic number.

412128960 is a gapful number since it is divisible by the number (40) 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 412128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692767728).

412128960 is an abundant number, since it is smaller than the sum of its proper divisors (973406496).

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

412128960 is a wasteful number, since it uses less digits than its factorization.

412128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25290 (or 25280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 412128960 is about 20300.9595832315. The cubic root of 412128960 is about 744.1795150129.

The spelling of 412128960 in words is "four hundred twelve million, one hundred twenty-eight thousand, nine hundred sixty".