456346756 has 12 divisors (see below), whose sum is σ = 799198092. Its totient is φ = 228004448.

The previous prime is 456346747. The next prime is 456346777. The reversal of 456346756 is 657643654.

It can be written as a sum of positive squares in 2 ways, for example, as 360620100 + 95726656 = 18990^2 + 9784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36055 + ... + 47038.

It is an arithmetic number, because the mean of its divisors is an integer number (66599841).

Almost surely, 2^456346756 is an apocalyptic number.

It is an amenable number.

456346756 is a deficient number, since it is larger than the sum of its proper divisors (342851336).

456346756 is a wasteful number, since it uses less digits than its factorization.

456346756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84470 (or 84468 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 46.

The square root of 456346756 is about 21362.2741298767. The cubic root of 456346756 is about 769.8952778254.

It can be divided in two parts, 45634675 and 6, that added together give a triangular number (45634681 = T₉₅₅₃).

The spelling of 456346756 in words is "four hundred fifty-six million, three hundred forty-six thousand, seven hundred fifty-six".