455506641 has 24 divisors (see below), whose sum is σ = 668570760. Its totient is φ = 298791936.

The previous prime is 455506631. The next prime is 455506699. The reversal of 455506641 is 146605554.

455506641 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 0 + 6 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278723025 + 176783616 = 16695^2 + 13296^2 .

It is not a de Polignac number, because 455506641 - 2¹⁴ = 455490257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 455506596 and 455506605.

It is not an unprimeable number, because it can be changed into a prime (455506631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531085 + ... + 531941.

It is an arithmetic number, because the mean of its divisors is an integer number (27857115).

Almost surely, 2^455506641 is an apocalyptic number.

It is an amenable number.

455506641 is a deficient number, since it is larger than the sum of its proper divisors (213064119).

455506641 is a wasteful number, since it uses less digits than its factorization.

455506641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 455506641 is about 21342.6015518259. The cubic root of 455506641 is about 769.4225394380.

The spelling of 455506641 in words is "four hundred fifty-five million, five hundred six thousand, six hundred forty-one".