412412000 has 384 divisors, whose sum is σ = 1373718528. Its totient is φ = 117504000.

The previous prime is 412411999. The next prime is 412412009. The reversal of 412412000 is 214214.

412412000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412412009) 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 63 ways as a sum of consecutive naturals, for example, 4003949 + ... + 4004051.

It is an arithmetic number, because the mean of its divisors is an integer number (3577392).

Almost surely, 2^412412000 is an apocalyptic number.

412412000 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 412412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686859264).

412412000 is an abundant number, since it is smaller than the sum of its proper divisors (961306528).

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

412412000 is a wasteful number, since it uses less digits than its factorization.

412412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 412412000 is about 20307.9294857945. The cubic root of 412412000 is about 744.3498374036.

Adding to 412412000 its reverse (214214), we get a palindrome (412626214).

The spelling of 412412000 in words is "four hundred twelve million, four hundred twelve thousand".