456738651 has 12 divisors (see below), whose sum is σ = 660761712. Its totient is φ = 304017936.

The previous prime is 456738641. The next prime is 456738679. The reversal of 456738651 is 156837654.

456738651 is a `hidden beast` number, since 4 + 567 + 3 + 86 + 5 + 1 = 666.

It is not a de Polignac number, because 456738651 - 2⁷ = 456738523 is a prime.

It is a super-2 number, since 2×456738651² = 417220390634599602, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456738597 and 456738606.

It is not an unprimeable number, because it can be changed into a prime (456738641) 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, 33396 + ... + 45041.

It is an arithmetic number, because the mean of its divisors is an integer number (55063476).

Almost surely, 2^456738651 is an apocalyptic number.

456738651 is a deficient number, since it is larger than the sum of its proper divisors (204023061).

456738651 is a wasteful number, since it uses less digits than its factorization.

456738651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79090 (or 79087 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 456738651 is about 21371.4447569648. Note that the first 3 decimals coincide. The cubic root of 456738651 is about 770.1156013540.

The spelling of 456738651 in words is "four hundred fifty-six million, seven hundred thirty-eight thousand, six hundred fifty-one".