456454993 has 8 divisors (see below), whose sum is σ = 481161600. Its totient is φ = 431816688.

The previous prime is 456454979. The next prime is 456455003. The reversal of 456454993 is 399454654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456454993 - 2⁵ = 456454961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456454963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3046 + ... + 30367.

It is an arithmetic number, because the mean of its divisors is an integer number (60145200).

Almost surely, 2^456454993 is an apocalyptic number.

It is an amenable number.

456454993 is a deficient number, since it is larger than the sum of its proper divisors (24706607).

456454993 is a wasteful number, since it uses less digits than its factorization.

456454993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34151.

The product of its digits is 2332800, while the sum is 49.

The square root of 456454993 is about 21364.8073475985. The cubic root of 456454993 is about 769.9561413148.

The spelling of 456454993 in words is "four hundred fifty-six million, four hundred fifty-four thousand, nine hundred ninety-three".