1546661440 has 56 divisors (see below), whose sum is σ = 3690454392. Its totient is φ = 617410560.

The previous prime is 1546661429. The next prime is 1546661449. The reversal of 1546661440 is 441666451.

It can be written as a sum of positive squares in 4 ways, for example, as 217621504 + 1329039936 = 14752^2 + 36456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1546661440.

It is not an unprimeable number, because it can be changed into a prime (1546661449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 162082 + ... + 171358.

Almost surely, 2^1546661440 is an apocalyptic number.

1546661440 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 1546661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845227196).

1546661440 is an abundant number, since it is smaller than the sum of its proper divisors (2143792952).

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

1546661440 is an equidigital number, since it uses as much as digits as its factorization.

1546661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 1546661440 is about 39327.6167597275. The cubic root of 1546661440 is about 1156.4630273577.

The spelling of 1546661440 in words is "one billion, five hundred forty-six million, six hundred sixty-one thousand, four hundred forty".