412202000 has 80 divisors (see below), whose sum is σ = 1139129472. Its totient is φ = 141321600.

The previous prime is 412201973. The next prime is 412202003. The reversal of 412202000 is 202214.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (412202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722 + ... + 28721.

Almost surely, 2^412202000 is an apocalyptic number.

412202000 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 412202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569564736).

412202000 is an abundant number, since it is smaller than the sum of its proper divisors (726927472).

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

412202000 is a wasteful number, since it uses less digits than its factorization.

412202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29473 (or 29457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 412202000 is about 20302.7584332770. The cubic root of 412202000 is about 744.2234750888.

Adding to 412202000 its reverse (202214), we get a palindrome (412404214).

The spelling of 412202000 in words is "four hundred twelve million, two hundred two thousand".