412040000 has 70 divisors (see below), whose sum is σ = 1021824474. Its totient is φ = 164800000.

The previous prime is 412039973. The next prime is 412040093. The reversal of 412040000 is 40214.

412040000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 57395776 + 354644224 = 7576^2 + 18832^2 .

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 34850 + ... + 45150.

Almost surely, 2^412040000 is an apocalyptic number.

412040000 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 412040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510912237).

412040000 is an abundant number, since it is smaller than the sum of its proper divisors (609784474).

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

412040000 is an equidigital number, since it uses as much as digits as its factorization.

412040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 412040000 is about 20298.7684355480. The cubic root of 412040000 is about 744.1259662616.

Adding to 412040000 its reverse (40214), we get a palindrome (412080214).

The spelling of 412040000 in words is "four hundred twelve million, forty thousand".