456707742 has 16 divisors (see below), whose sum is σ = 932850432. Its totient is φ = 148996760.

The previous prime is 456707723. The next prime is 456707743. The reversal of 456707742 is 247707654.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 456707694 and 456707703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456707743) 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 7 ways as a sum of consecutive naturals, for example, 809484 + ... + 810047.

It is an arithmetic number, because the mean of its divisors is an integer number (58303152).

Almost surely, 2^456707742 is an apocalyptic number.

456707742 is an abundant number, since it is smaller than the sum of its proper divisors (476142690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456707742 is a wasteful number, since it uses less digits than its factorization.

456707742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619583.

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 456707742 is about 21370.7216069088. The cubic root of 456707742 is about 770.0982288807.

The spelling of 456707742 in words is "four hundred fifty-six million, seven hundred seven thousand, seven hundred forty-two".