456461005 has 48 divisors (see below), whose sum is σ = 741105792. Its totient is φ = 262627200.

The previous prime is 456460981. The next prime is 456461011. The reversal of 456461005 is 500164654.

It is not a de Polignac number, because 456461005 - 2¹⁹ = 455936717 is a prime.

It is a super-2 number, since 2×456461005² = 416713298171220050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50910 + ... + 59200.

It is an arithmetic number, because the mean of its divisors is an integer number (15439704).

Almost surely, 2^456461005 is an apocalyptic number.

It is an amenable number.

456461005 is a deficient number, since it is larger than the sum of its proper divisors (284644787).

456461005 is a wasteful number, since it uses less digits than its factorization.

456461005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 456461005 is about 21364.9480458062. The cubic root of 456461005 is about 769.9595216816.

The spelling of 456461005 in words is "four hundred fifty-six million, four hundred sixty-one thousand, five".