412002000 has 240 divisors, whose sum is σ = 1472620032. Its totient is φ = 107308800.

The previous prime is 412001983. The next prime is 412002007. The reversal of 412002000 is 200214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845757 + ... + 846243.

Almost surely, 2^412002000 is an apocalyptic number.

412002000 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 412002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736310016).

412002000 is an abundant number, since it is smaller than the sum of its proper divisors (1060618032).

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

412002000 is a wasteful number, since it uses less digits than its factorization.

412002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 412002000 is about 20297.8323965886. The cubic root of 412002000 is about 744.1030901201.

Adding to 412002000 its reverse (200214), we get a palindrome (412202214).

The spelling of 412002000 in words is "four hundred twelve million, two thousand".