456742784 has 32 divisors (see below), whose sum is σ = 910941600. Its totient is φ = 228114432.

The previous prime is 456742751. The next prime is 456742813. The reversal of 456742784 is 487247654.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×456742784² = 417227941472141312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168512 + ... + 171200.

It is an arithmetic number, because the mean of its divisors is an integer number (28466925).

Almost surely, 2^456742784 is an apocalyptic number.

It is an amenable number.

456742784 is a deficient number, since it is larger than the sum of its proper divisors (454198816).

456742784 is a wasteful number, since it uses less digits than its factorization.

456742784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4018 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 47.

The square root of 456742784 is about 21371.5414511916. The cubic root of 456742784 is about 770.1179242566.

The spelling of 456742784 in words is "four hundred fifty-six million, seven hundred forty-two thousand, seven hundred eighty-four".