1461462047 has 16 divisors (see below), whose sum is σ = 1563290880. Its totient is φ = 1364842080.

The previous prime is 1461462031. The next prime is 1461462053. The reversal of 1461462047 is 7402641641.

It is not a de Polignac number, because 1461462047 - 2⁴ = 1461462031 is a prime.

It is a super-3 number, since 3×1461462047³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1461461998 and 1461462016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461462017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755093 + ... + 757025.

It is an arithmetic number, because the mean of its divisors is an integer number (97705680).

Almost surely, 2^1461462047 is an apocalyptic number.

1461462047 is a deficient number, since it is larger than the sum of its proper divisors (101828833).

1461462047 is an frugal number, since it uses more digits than its factorization.

1461462047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 1461462047 is about 38229.0733212303. The cubic root of 1461462047 is about 1134.8257469556.

The spelling of 1461462047 in words is "one billion, four hundred sixty-one million, four hundred sixty-two thousand, forty-seven".