456851461 has 16 divisors (see below), whose sum is σ = 521313408. Its totient is φ = 396299200.

The previous prime is 456851449. The next prime is 456851477. The reversal of 456851461 is 164158654.

It is not a de Polignac number, because 456851461 - 2¹⁵ = 456818693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456851401) 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 15 ways as a sum of consecutive naturals, for example, 114675 + ... + 118591.

It is an arithmetic number, because the mean of its divisors is an integer number (32582088).

Almost surely, 2^456851461 is an apocalyptic number.

It is an amenable number.

456851461 is a deficient number, since it is larger than the sum of its proper divisors (64461947).

456851461 is a wasteful number, since it uses less digits than its factorization.

456851461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412.

The product of its digits is 115200, while the sum is 40.

The square root of 456851461 is about 21374.0838634080. The cubic root of 456851461 is about 770.1789998199.

The spelling of 456851461 in words is "four hundred fifty-six million, eight hundred fifty-one thousand, four hundred sixty-one".