412800384 has 128 divisors (see below), whose sum is σ = 1194624000. Its totient is φ = 125798400.

The previous prime is 412800383. The next prime is 412800391. The reversal of 412800384 is 483008214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412800383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210609 + ... + 212559.

It is an arithmetic number, because the mean of its divisors is an integer number (9333000).

Almost surely, 2^412800384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597312000).

412800384 is an abundant number, since it is smaller than the sum of its proper divisors (781823616).

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

412800384 is a wasteful number, since it uses less digits than its factorization.

412800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 412800384 is about 20317.4896087090. The cubic root of 412800384 is about 744.5834249040.

Adding to 412800384 its reverse (483008214), we get a palindrome (895808598).

The spelling of 412800384 in words is "four hundred twelve million, eight hundred thousand, three hundred eighty-four".