456871005 has 48 divisors (see below), whose sum is σ = 861207984. Its totient is φ = 223119360.

The previous prime is 456870989. The next prime is 456871007. The reversal of 456871005 is 500178654.

It can be written as a sum of positive squares in 8 ways, for example, as 29746116 + 427124889 = 5454^2 + 20667^2 .

It is not a de Polignac number, because 456871005 - 2⁴ = 456870989 is a prime.

It is a super-2 number, since 2×456871005² = 417462230419420050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456871007) 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 47 ways as a sum of consecutive naturals, for example, 20235 + ... + 36375.

It is an arithmetic number, because the mean of its divisors is an integer number (17941833).

Almost surely, 2^456871005 is an apocalyptic number.

456871005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456871005 is a deficient number, since it is larger than the sum of its proper divisors (404336979).

456871005 is a wasteful number, since it uses less digits than its factorization.

456871005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16206 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 456871005 is about 21374.5410477044. The cubic root of 456871005 is about 770.1899823566.

The spelling of 456871005 in words is "four hundred fifty-six million, eight hundred seventy-one thousand, five".