1461009472 has 28 divisors (see below), whose sum is σ = 3122207116. Its totient is φ = 674311680.

The previous prime is 1461009469. The next prime is 1461009481. The reversal of 1461009472 is 2749001641.

It can be written as a sum of positive squares in 2 ways, for example, as 493550656 + 967458816 = 22216^2 + 31104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 877179 + ... + 878842.

It is an arithmetic number, because the mean of its divisors is an integer number (111507397).

Almost surely, 2^1461009472 is an apocalyptic number.

It is an amenable number.

1461009472 is an abundant number, since it is smaller than the sum of its proper divisors (1661197644).

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

1461009472 is a wasteful number, since it uses less digits than its factorization.

1461009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756046 (or 1756036 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1461009472 is about 38223.1536113911. The cubic root of 1461009472 is about 1134.7085933175.

The spelling of 1461009472 in words is "one billion, four hundred sixty-one million, nine thousand, four hundred seventy-two".