412867200 has 192 divisors, whose sum is σ = 1407722400. Its totient is φ = 106229760.

The previous prime is 412867187. The next prime is 412867241. The reversal of 412867200 is 2768214.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 277659 + ... + 279141.

Almost surely, 2^412867200 is an apocalyptic number.

412867200 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 412867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703861200).

412867200 is an abundant number, since it is smaller than the sum of its proper divisors (994855200).

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

412867200 is a wasteful number, since it uses less digits than its factorization.

412867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 412867200 is about 20319.1338398072. The cubic root of 412867200 is about 744.6235955725.

The spelling of 412867200 in words is "four hundred twelve million, eight hundred sixty-seven thousand, two hundred".