412885200 has 480 divisors, whose sum is σ = 1722112000. Its totient is φ = 82114560.

The previous prime is 412885199. The next prime is 412885201. The reversal of 412885200 is 2588214.

412885200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (412885199) and next prime (412885201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412885201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074701 + ... + 2074899.

Almost surely, 2^412885200 is an apocalyptic number.

412885200 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 412885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861056000).

412885200 is an abundant number, since it is smaller than the sum of its proper divisors (1309226800).

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

412885200 is a wasteful number, since it uses less digits than its factorization.

412885200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 412885200 is about 20319.5767672459. The cubic root of 412885200 is about 744.6344166710.

The spelling of 412885200 in words is "four hundred twelve million, eight hundred eighty-five thousand, two hundred".