1006446000 has 320 divisors, whose sum is σ = 3832897536. Its totient is φ = 222336000.

The previous prime is 1006445989. The next prime is 1006446037. The reversal of 1006446000 is 6446001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301614 + ... + 1302386.

Almost surely, 2^1006446000 is an apocalyptic number.

1006446000 is a gapful number since it is divisible by the number (10) 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 1006446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916448768).

1006446000 is an abundant number, since it is smaller than the sum of its proper divisors (2826451536).

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

1006446000 is a wasteful number, since it uses less digits than its factorization.

1006446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1006446000 is about 31724.5330934909. The cubic root of 1006446000 is about 1002.1440663607.

Subtracting from 1006446000 its reverse (6446001), we obtain a palindrome (999999999).

The spelling of 1006446000 in words is "one billion, six million, four hundred forty-six thousand".