412256600 has 288 divisors, whose sum is σ = 1221350400. Its totient is φ = 128620800.

The previous prime is 412256591. The next prime is 412256651. The reversal of 412256600 is 6652214.

It is a self number, because there is not a number n which added to its sum of digits gives 412256600.

It is a congruent number.

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, 6987371 + ... + 6987429.

It is an arithmetic number, because the mean of its divisors is an integer number (4240800).

Almost surely, 2^412256600 is an apocalyptic number.

412256600 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 412256600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

412256600 is an abundant number, since it is smaller than the sum of its proper divisors (809093800).

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

412256600 is a wasteful number, since it uses less digits than its factorization.

412256600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 412256600 is about 20304.1030336235. The cubic root of 412256600 is about 744.2563334186.

The spelling of 412256600 in words is "four hundred twelve million, two hundred fifty-six thousand, six hundred".