1461248747 has 24 divisors (see below), whose sum is σ = 1748938752. Its totient is φ = 1216630800.

The previous prime is 1461248731. The next prime is 1461248749. The reversal of 1461248747 is 7478421641.

It is not a de Polignac number, because 1461248747 - 2⁴ = 1461248731 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1461248698 and 1461248707.

It is not an unprimeable number, because it can be changed into a prime (1461248749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400622 + ... + 404252.

It is an arithmetic number, because the mean of its divisors is an integer number (72872448).

Almost surely, 2^1461248747 is an apocalyptic number.

1461248747 is a deficient number, since it is larger than the sum of its proper divisors (287690005).

1461248747 is a wasteful number, since it uses less digits than its factorization.

1461248747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3872 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The square root of 1461248747 is about 38226.2834578514. The cubic root of 1461248747 is about 1134.7705350967.

The spelling of 1461248747 in words is "one billion, four hundred sixty-one million, two hundred forty-eight thousand, seven hundred forty-seven".