412885800 has 288 divisors, whose sum is σ = 1493743680. Its totient is φ = 101836800.

The previous prime is 412885771. The next prime is 412885813. The reversal of 412885800 is 8588214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3151735 + ... + 3151865.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2^412885800 is an apocalyptic number.

412885800 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 412885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746871840).

412885800 is an abundant number, since it is smaller than the sum of its proper divisors (1080857880).

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

412885800 is a wasteful number, since it uses less digits than its factorization.

412885800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 412885800 is about 20319.5915313276. The cubic root of 412885800 is about 744.6347773689.

The spelling of 412885800 in words is "four hundred twelve million, eight hundred eighty-five thousand, eight hundred".