456916441 has 4 divisors (see below), whose sum is σ = 469265572. Its totient is φ = 444567312.

The previous prime is 456916403. The next prime is 456916451. The reversal of 456916441 is 144619654.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 161798400 + 295118041 = 12720^2 + 17179^2 .

It is a cyclic number.

It is not a de Polignac number, because 456916441 - 2²¹ = 454819289 is a prime.

It is a super-3 number, since 3×456916441³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456916394 and 456916403.

It is not an unprimeable number, because it can be changed into a prime (456916451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6174510 + ... + 6174583.

It is an arithmetic number, because the mean of its divisors is an integer number (117316393).

Almost surely, 2^456916441 is an apocalyptic number.

It is an amenable number.

456916441 is a deficient number, since it is larger than the sum of its proper divisors (12349131).

456916441 is a wasteful number, since it uses less digits than its factorization.

456916441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12349130.

The product of its digits is 103680, while the sum is 40.

The square root of 456916441 is about 21375.6038745108. The cubic root of 456916441 is about 770.2155134085.

The spelling of 456916441 in words is "four hundred fifty-six million, nine hundred sixteen thousand, four hundred forty-one".