456416993 has 12 divisors (see below), whose sum is σ = 498325140. Its totient is φ = 417475296.

The previous prime is 456416977. The next prime is 456417029. The reversal of 456416993 is 399614654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 85969984 + 370447009 = 9272^2 + 19247^2 .

It is not a de Polignac number, because 456416993 - 2⁴ = 456416977 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456416963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11330 + ... + 32267.

It is an arithmetic number, because the mean of its divisors is an integer number (41527095).

Almost surely, 2^456416993 is an apocalyptic number.

It is an amenable number.

456416993 is a deficient number, since it is larger than the sum of its proper divisors (41908147).

456416993 is a wasteful number, since it uses less digits than its factorization.

456416993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43664 (or 43645 counting only the distinct ones).

The product of its digits is 699840, while the sum is 47.

The square root of 456416993 is about 21363.9180161318. The cubic root of 456416993 is about 769.9347743704.

The spelling of 456416993 in words is "four hundred fifty-six million, four hundred sixteen thousand, nine hundred ninety-three".