412804400 has 60 divisors (see below), whose sum is σ = 1015992264. Its totient is φ = 161088000.

The previous prime is 412804363. The next prime is 412804411. The reversal of 412804400 is 4408214.

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 11 ways as a sum of consecutive naturals, for example, 3815 + ... + 28985.

Almost surely, 2^412804400 is an apocalyptic number.

412804400 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 412804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507996132).

412804400 is an abundant number, since it is smaller than the sum of its proper divisors (603187864).

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

412804400 is a wasteful number, since it uses less digits than its factorization.

412804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25230 (or 25219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 412804400 is about 20317.5884395762. The cubic root of 412804400 is about 744.5858394991.

The spelling of 412804400 in words is "four hundred twelve million, eight hundred four thousand, four hundred".