456144351 has 12 divisors (see below), whose sum is σ = 658576008. Its totient is φ = 280703904.

The previous prime is 456144347. The next prime is 456144361. The reversal of 456144351 is 153441654.

It is not a de Polignac number, because 456144351 - 2² = 456144347 is a prime.

It is a super-2 number, since 2×456144351² = 416135337898422402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456144361) 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 11 ways as a sum of consecutive naturals, for example, 449340 + ... + 450353.

It is an arithmetic number, because the mean of its divisors is an integer number (54881334).

Almost surely, 2^456144351 is an apocalyptic number.

456144351 is a deficient number, since it is larger than the sum of its proper divisors (202431657).

456144351 is a wasteful number, since it uses less digits than its factorization.

456144351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899722 (or 899709 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 456144351 is about 21357.5361640804. The cubic root of 456144351 is about 769.7814362520.

The spelling of 456144351 in words is "four hundred fifty-six million, one hundred forty-four thousand, three hundred fifty-one".