412804000 has 192 divisors, whose sum is σ = 1211438592. Its totient is φ = 135168000.

The previous prime is 412803841. The next prime is 412804001. The reversal of 412804000 is 408214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412804001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643680 + ... + 644320.

It is an arithmetic number, because the mean of its divisors is an integer number (6309576).

Almost surely, 2^412804000 is an apocalyptic number.

412804000 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 412804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605719296).

412804000 is an abundant number, since it is smaller than the sum of its proper divisors (798634592).

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

412804000 is a wasteful number, since it uses less digits than its factorization.

412804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 412804000 is about 20317.5785958859. The cubic root of 412804000 is about 744.5855990022.

The spelling of 412804000 in words is "four hundred twelve million, eight hundred four thousand".