456861351 has 16 divisors (see below), whose sum is σ = 637668864. Its totient is φ = 290398944.

The previous prime is 456861347. The next prime is 456861371. The reversal of 456861351 is 153168654.

It is not a de Polignac number, because 456861351 - 2² = 456861347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456861371) 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 15 ways as a sum of consecutive naturals, for example, 11430 + ... + 32316.

It is an arithmetic number, because the mean of its divisors is an integer number (39854304).

Almost surely, 2^456861351 is an apocalyptic number.

456861351 is a deficient number, since it is larger than the sum of its proper divisors (180807513).

456861351 is a wasteful number, since it uses less digits than its factorization.

456861351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21230.

The product of its digits is 86400, while the sum is 39.

The square root of 456861351 is about 21374.3152171011. The cubic root of 456861351 is about 770.1845574362.

The spelling of 456861351 in words is "four hundred fifty-six million, eight hundred sixty-one thousand, three hundred fifty-one".