1006446150 has 144 divisors (see below), whose sum is σ = 2901309840. Its totient is φ = 249350400.

The previous prime is 1006446149. The next prime is 1006446151. The reversal of 1006446150 is 516446001.

1006446150 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 44 + 615 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1006446149) and next prime (1006446151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006446151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 452040 + ... + 454260.

It is an arithmetic number, because the mean of its divisors is an integer number (20147985).

Almost surely, 2^1006446150 is an apocalyptic number.

1006446150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006446150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450654920).

1006446150 is an abundant number, since it is smaller than the sum of its proper divisors (1894863690).

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

1006446150 is a wasteful number, since it uses less digits than its factorization.

1006446150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1006446150 is about 31724.5354575918. The cubic root of 1006446150 is about 1002.1441161469.

The spelling of 1006446150 in words is "one billion, six million, four hundred forty-six thousand, one hundred fifty".