456503361 has 8 divisors (see below), whose sum is σ = 617756064. Its totient is φ = 299793120.

The previous prime is 456503347. The next prime is 456503371. The reversal of 456503361 is 163305654.

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

It is not a de Polignac number, because 456503361 - 2¹⁴ = 456486977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456503371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135380 + ... + 1135781.

It is an arithmetic number, because the mean of its divisors is an integer number (77219508).

Almost surely, 2^456503361 is an apocalyptic number.

It is an amenable number.

456503361 is a deficient number, since it is larger than the sum of its proper divisors (161252703).

456503361 is a wasteful number, since it uses less digits than its factorization.

456503361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271231.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 456503361 is about 21365.9392725899. The cubic root of 456503361 is about 769.9833363460.

The spelling of 456503361 in words is "four hundred fifty-six million, five hundred three thousand, three hundred sixty-one".