412434400 has 144 divisors (see below), whose sum is σ = 1175924736. Its totient is φ = 138309120.

The previous prime is 412434391. The next prime is 412434401. The reversal of 412434400 is 4434214.

412434400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412434401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262417 + ... + 263983.

It is an arithmetic number, because the mean of its divisors is an integer number (8166144).

Almost surely, 2^412434400 is an apocalyptic number.

412434400 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 412434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587962368).

412434400 is an abundant number, since it is smaller than the sum of its proper divisors (763490336).

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

412434400 is a wasteful number, since it uses less digits than its factorization.

412434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 412434400 is about 20308.4809870162. The cubic root of 412434400 is about 744.3633135185.

Adding to 412434400 its reverse (4434214), we get a palindrome (416868614).

The spelling of 412434400 in words is "four hundred twelve million, four hundred thirty-four thousand, four hundred".