412021000 has 64 divisors (see below), whose sum is σ = 995304960. Its totient is φ = 159480000.

The previous prime is 412020971. The next prime is 412021003. The reversal of 412021000 is 120214.

It is a super-2 number, since 2×412021000² = 339522608882000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (412021003) 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, 24355 + ... + 37645.

It is an arithmetic number, because the mean of its divisors is an integer number (15551640).

Almost surely, 2^412021000 is an apocalyptic number.

412021000 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 412021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497652480).

412021000 is an abundant number, since it is smaller than the sum of its proper divisors (583283960).

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

412021000 is a wasteful number, since it uses less digits than its factorization.

412021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13343 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 412021000 is about 20298.3004214639. The cubic root of 412021000 is about 744.1145283667.

Adding to 412021000 its reverse (120214), we get a palindrome (412141214).

The spelling of 412021000 in words is "four hundred twelve million, twenty-one thousand".