1206461440 has 176 divisors, whose sum is σ = 3119824512. Its totient is φ = 446038016.

The previous prime is 1206461407. The next prime is 1206461453. The reversal of 1206461440 is 441646021.

It is a junction number, because it is equal to n+sod(n) for n = 1206461399 and 1206461408.

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 15 ways as a sum of consecutive naturals, for example, 7224237 + ... + 7224403.

Almost surely, 2^1206461440 is an apocalyptic number.

1206461440 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 1206461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559912256).

1206461440 is an abundant number, since it is smaller than the sum of its proper divisors (1913363072).

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

1206461440 is a wasteful number, since it uses less digits than its factorization.

1206461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1206461440 is about 34734.1537970914. The cubic root of 1206461440 is about 1064.5624628967.

The spelling of 1206461440 in words is "one billion, two hundred six million, four hundred sixty-one thousand, four hundred forty".