456715749 has 32 divisors (see below), whose sum is σ = 738426880. Its totient is φ = 245270592.

The previous prime is 456715741. The next prime is 456715757. The reversal of 456715749 is 947517654.

It is an interprime number because it is at equal distance from previous prime (456715741) and next prime (456715757).

It is not a de Polignac number, because 456715749 - 2³ = 456715741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456715698 and 456715707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456715741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46167 + ... + 55179.

It is an arithmetic number, because the mean of its divisors is an integer number (23075840).

Almost surely, 2^456715749 is an apocalyptic number.

It is an amenable number.

456715749 is a deficient number, since it is larger than the sum of its proper divisors (281711131).

456715749 is a wasteful number, since it uses less digits than its factorization.

456715749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169.

The product of its digits is 1058400, while the sum is 48.

The square root of 456715749 is about 21370.9089418302. The cubic root of 456715749 is about 770.1027293084.

The spelling of 456715749 in words is "four hundred fifty-six million, seven hundred fifteen thousand, seven hundred forty-nine".