456461073 has 48 divisors (see below), whose sum is σ = 727272000. Its totient is φ = 274748544.

The previous prime is 456461029. The next prime is 456461087. The reversal of 456461073 is 370164654.

It is a happy number.

456461073 is a `hidden beast` number, since 4 + 5 + 646 + 1 + 0 + 7 + 3 = 666.

It is not a de Polignac number, because 456461073 - 2⁸ = 456460817 is a prime.

It is a super-2 number, since 2×456461073² = 416713422328622658, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456461273) 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 47 ways as a sum of consecutive naturals, for example, 411043 + ... + 412151.

It is an arithmetic number, because the mean of its divisors is an integer number (15151500).

Almost surely, 2^456461073 is an apocalyptic number.

It is an amenable number.

456461073 is a deficient number, since it is larger than the sum of its proper divisors (270810927).

456461073 is a wasteful number, since it uses less digits than its factorization.

456461073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 456461073 is about 21364.9496371978. The cubic root of 456461073 is about 769.9595599158.

The spelling of 456461073 in words is "four hundred fifty-six million, four hundred sixty-one thousand, seventy-three".