1006644450 has 192 divisors, whose sum is σ = 3023235072. Its totient is φ = 216691200.

The previous prime is 1006644421. The next prime is 1006644467. The reversal of 1006644450 is 544466001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1762665 + ... + 1763235.

It is an arithmetic number, because the mean of its divisors is an integer number (15746016).

Almost surely, 2^1006644450 is an apocalyptic number.

1006644450 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 1006644450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511617536).

1006644450 is an abundant number, since it is smaller than the sum of its proper divisors (2016590622).

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

1006644450 is a wasteful number, since it uses less digits than its factorization.

1006644450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1006644450 is about 31727.6606449325. The cubic root of 1006644450 is about 1002.2099292816.

The spelling of 1006644450 in words is "one billion, six million, six hundred forty-four thousand, four hundred fifty".