412283600 has 120 divisors (see below), whose sum is σ = 1031998680. Its totient is φ = 158146560.

The previous prime is 412283569. The next prime is 412283611. The reversal of 412283600 is 6382214.

It can be written as a sum of positive squares in 12 ways, for example, as 222725776 + 189557824 = 14924^2 + 13768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 412283600.

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 23 ways as a sum of consecutive naturals, for example, 1317044 + ... + 1317356.

It is an arithmetic number, because the mean of its divisors is an integer number (8599989).

Almost surely, 2^412283600 is an apocalyptic number.

412283600 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 412283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515999340).

412283600 is an abundant number, since it is smaller than the sum of its proper divisors (619715080).

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

412283600 is a wasteful number, since it uses less digits than its factorization.

412283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 412283600 is about 20304.7679129804. The cubic root of 412283600 is about 744.2725809711.

The spelling of 412283600 in words is "four hundred twelve million, two hundred eighty-three thousand, six hundred".