455680953 has 72 divisors (see below), whose sum is σ = 823400448. Its totient is φ = 237758976.

The previous prime is 455680891. The next prime is 455680957. The reversal of 455680953 is 359086554.

455680953 is a `hidden beast` number, since 4 + 556 + 8 + 0 + 95 + 3 = 666.

It is not a de Polignac number, because 455680953 - 2⁹ = 455680441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 455680899 and 455680908.

It is not an unprimeable number, because it can be changed into a prime (455680957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1352001 + ... + 1352337.

Almost surely, 2^455680953 is an apocalyptic number.

It is an amenable number.

455680953 is a deficient number, since it is larger than the sum of its proper divisors (367719495).

455680953 is a wasteful number, since it uses less digits than its factorization.

455680953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 455680953 is about 21346.6848245811. The cubic root of 455680953 is about 769.5206737388.

The spelling of 455680953 in words is "four hundred fifty-five million, six hundred eighty thousand, nine hundred fifty-three".