412128000 has 432 divisors, whose sum is σ = 1566897696. Its totient is φ = 107827200.

The previous prime is 412127987. The next prime is 412128037. The reversal of 412128000 is 821214.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775974 + ... + 7776026.

It is an arithmetic number, because the mean of its divisors is an integer number (3627078).

Almost surely, 2^412128000 is an apocalyptic number.

412128000 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 412128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783448848).

412128000 is an abundant number, since it is smaller than the sum of its proper divisors (1154769696).

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

412128000 is an frugal number, since it uses more digits than its factorization.

412128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 412128000 is about 20300.9359390152. The cubic root of 412128000 is about 744.1789371898.

Adding to 412128000 its reverse (821214), we get a palindrome (412949214).

The spelling of 412128000 in words is "four hundred twelve million, one hundred twenty-eight thousand".