1206456444 has 90 divisors (see below), whose sum is σ = 3297472640. Its totient is φ = 384612624.

The previous prime is 1206456443. The next prime is 1206456469. The reversal of 1206456444 is 4446546021.

1206456444 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 4 + 5 + 644 + 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 = 1206456399 and 1206456408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206456443) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 167877 + ... + 174915.

Almost surely, 2^1206456444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206456444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648736320).

1206456444 is an abundant number, since it is smaller than the sum of its proper divisors (2091016196).

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

1206456444 is a wasteful number, since it uses less digits than its factorization.

1206456444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1206456444 is about 34734.0818793300. The cubic root of 1206456444 is about 1064.5609934309.

The spelling of 1206456444 in words is "one billion, two hundred six million, four hundred fifty-six thousand, four hundred forty-four".