412894000 has 40 divisors (see below), whose sum is σ = 998382528. Its totient is φ = 165156800.

The previous prime is 412893961. The next prime is 412894003. The reversal of 412894000 is 498214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 412894000.

It is not an unprimeable number, because it can be changed into a prime (412894003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 101224 + ... + 105223.

Almost surely, 2^412894000 is an apocalyptic number.

412894000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412894000 is an abundant number, since it is smaller than the sum of its proper divisors (585488528).

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

412894000 is a wasteful number, since it uses less digits than its factorization.

412894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206470 (or 206454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 412894000 is about 20319.7933060354. The cubic root of 412894000 is about 744.6397068714.

The spelling of 412894000 in words is "four hundred twelve million, eight hundred ninety-four thousand".