456746727 has 16 divisors (see below), whose sum is σ = 615911040. Its totient is φ = 301051872.

The previous prime is 456746677. The next prime is 456746779. The reversal of 456746727 is 727647654.

It is a happy number.

It is not a de Polignac number, because 456746727 - 2⁶ = 456746663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456744727) 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, 208524 + ... + 210702.

It is an arithmetic number, because the mean of its divisors is an integer number (38494440).

Almost surely, 2^456746727 is an apocalyptic number.

456746727 is a deficient number, since it is larger than the sum of its proper divisors (159164313).

456746727 is a wasteful number, since it uses less digits than its factorization.

456746727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942.

The product of its digits is 1975680, while the sum is 48.

The square root of 456746727 is about 21371.6336998368. The cubic root of 456746727 is about 770.1201403589.

The spelling of 456746727 in words is "four hundred fifty-six million, seven hundred forty-six thousand, seven hundred twenty-seven".