412987200 has 168 divisors, whose sum is σ = 1370453952. Its totient is φ = 108871680.

The previous prime is 412987199. The next prime is 412987213. The reversal of 412987200 is 2789214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465157 + ... + 466043.

It is an arithmetic number, because the mean of its divisors is an integer number (8157464).

Almost surely, 2^412987200 is an apocalyptic number.

412987200 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 412987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685226976).

412987200 is an abundant number, since it is smaller than the sum of its proper divisors (957466752).

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

412987200 is a wasteful number, since it uses less digits than its factorization.

412987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 412987200 is about 20322.0865070494. The cubic root of 412987200 is about 744.6957302895.

The spelling of 412987200 in words is "four hundred twelve million, nine hundred eighty-seven thousand, two hundred".