412847600 has 120 divisors (see below), whose sum is σ = 1093925520. Its totient is φ = 148480000.

The previous prime is 412847597. The next prime is 412847609. The reversal of 412847600 is 6748214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412847609) 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, 443936 + ... + 444864.

It is an arithmetic number, because the mean of its divisors is an integer number (9116046).

Almost surely, 2^412847600 is an apocalyptic number.

412847600 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 412847600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546962760).

412847600 is an abundant number, since it is smaller than the sum of its proper divisors (681077920).

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

412847600 is a wasteful number, since it uses less digits than its factorization.

412847600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 412847600 is about 20318.6515300598. The cubic root of 412847600 is about 744.6118122409.

It can be divided in two parts, 41284 and 7600, that added together give a palindrome (48884).

The spelling of 412847600 in words is "four hundred twelve million, eight hundred forty-seven thousand, six hundred".