459900961 has 16 divisors (see below), whose sum is σ = 499867200. Its totient is φ = 420614208.

The previous prime is 459900923. The next prime is 459900979. The reversal of 459900961 is 169009954.

It is a cyclic number.

It is not a de Polignac number, because 459900961 - 2⁹ = 459900449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459900901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213270 + ... + 1213648.

It is an arithmetic number, because the mean of its divisors is an integer number (31241700).

Almost surely, 2^459900961 is an apocalyptic number.

It is an amenable number.

459900961 is a deficient number, since it is larger than the sum of its proper divisors (39966239).

459900961 is a wasteful number, since it uses less digits than its factorization.

459900961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008.

The product of its (nonzero) digits is 87480, while the sum is 43.

The square root of 459900961 is about 21445.3016066457. The cubic root of 459900961 is about 771.8888585338. Note that the first 4 decimals are identical.

The spelling of 459900961 in words is "four hundred fifty-nine million, nine hundred thousand, nine hundred sixty-one".