456034221 has 24 divisors (see below), whose sum is σ = 675330656. Its totient is φ = 296382240.

The previous prime is 456034217. The next prime is 456034223. The reversal of 456034221 is 122430654.

It is not a de Polignac number, because 456034221 - 2² = 456034217 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 (456034223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313131 + ... + 314583.

Almost surely, 2^456034221 is an apocalyptic number.

It is an amenable number.

456034221 is a deficient number, since it is larger than the sum of its proper divisors (219296435).

456034221 is a wasteful number, since it uses less digits than its factorization.

456034221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 456034221 is about 21354.9577616066. The cubic root of 456034221 is about 769.7194800950.

Adding to 456034221 its reverse (122430654), we get a palindrome (578464875).

It can be divided in two parts, 4560 and 34221, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 456034221 in words is "four hundred fifty-six million, thirty-four thousand, two hundred twenty-one".