456484047 has 16 divisors (see below), whose sum is σ = 613023840. Its totient is φ = 302141952.

The previous prime is 456483977. The next prime is 456484057. The reversal of 456484047 is 740484654.

It is not a de Polignac number, because 456484047 - 2¹² = 456479951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456484057) 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 15 ways as a sum of consecutive naturals, for example, 318729 + ... + 320157.

It is an arithmetic number, because the mean of its divisors is an integer number (38313990).

Almost surely, 2^456484047 is an apocalyptic number.

456484047 is a deficient number, since it is larger than the sum of its proper divisors (156539793).

456484047 is a wasteful number, since it uses less digits than its factorization.

456484047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122.

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 456484047 is about 21365.4872867435. The cubic root of 456484047 is about 769.9724772307.

The spelling of 456484047 in words is "four hundred fifty-six million, four hundred eighty-four thousand, forty-seven".