412306000 has 40 divisors (see below), whose sum is σ = 996960744. Its totient is φ = 164921600.

The previous prime is 412305997. The next prime is 412306009. The reversal of 412306000 is 603214.

It can be written as a sum of positive squares in 4 ways, for example, as 2972176 + 409333824 = 1724^2 + 20232^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412306009) 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, 101077 + ... + 105076.

Almost surely, 2^412306000 is an apocalyptic number.

412306000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412306000 is an abundant number, since it is smaller than the sum of its proper divisors (584654744).

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

412306000 is a wasteful number, since it uses less digits than its factorization.

412306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206176 (or 206160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 412306000 is about 20305.3195000719. The cubic root of 412306000 is about 744.2860598838.

Adding to 412306000 its reverse (603214), we get a palindrome (412909214).

The spelling of 412306000 in words is "four hundred twelve million, three hundred six thousand".