412608000 has 320 divisors, whose sum is σ = 1572899328. Its totient is φ = 94003200.

The previous prime is 412607999. The next prime is 412608019. The reversal of 412608000 is 806214.

412608000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343847 + ... + 1344153.

Almost surely, 2^412608000 is an apocalyptic number.

412608000 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 412608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786449664).

412608000 is an abundant number, since it is smaller than the sum of its proper divisors (1160291328).

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

412608000 is an equidigital number, since it uses as much as digits as its factorization.

412608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 412608000 is about 20312.7546137888. The cubic root of 412608000 is about 744.4677368685.

The spelling of 412608000 in words is "four hundred twelve million, six hundred eight thousand".