1006449444 has 216 divisors, whose sum is σ = 3443061440. Its totient is φ = 241211520.

The previous prime is 1006449439. The next prime is 1006449481. The reversal of 1006449444 is 4449446001.

1006449444 is a `hidden beast` number, since 1 + 0 + 0 + 644 + 9 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1006449399 and 1006449408.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 395127 + ... + 397665.

Almost surely, 2^1006449444 is an apocalyptic number.

1006449444 is a gapful number since it is divisible by the number (14) 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 1006449444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721530720).

1006449444 is an abundant number, since it is smaller than the sum of its proper divisors (2436611996).

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

1006449444 is a wasteful number, since it uses less digits than its factorization.

1006449444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1006449444 is about 31724.5873732031. The cubic root of 1006449444 is about 1002.1452094524.

The spelling of 1006449444 in words is "one billion, six million, four hundred forty-nine thousand, four hundred forty-four".