412641000 has 512 divisors, whose sum is σ = 1617408000. Its totient is φ = 96768000.

The previous prime is 412640981. The next prime is 412641011. The reversal of 412641000 is 146214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 13310985 + ... + 13311015.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2^412641000 is an apocalyptic number.

412641000 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 412641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808704000).

412641000 is an abundant number, since it is smaller than the sum of its proper divisors (1204767000).

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

412641000 is a wasteful number, since it uses less digits than its factorization.

412641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412641000 is about 20313.5668950581. The cubic root of 412641000 is about 744.4875836160.

Adding to 412641000 its reverse (146214), we get a palindrome (412787214).

The spelling of 412641000 in words is "four hundred twelve million, six hundred forty-one thousand".