459797460 has 96 divisors (see below), whose sum is σ = 1310534400. Its totient is φ = 120434688.

The previous prime is 459797449. The next prime is 459797477. The reversal of 459797460 is 64797954.

It is a super-2 number, since 2×459797460² = 422827408444903200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157982 + ... + 1158378.

It is an arithmetic number, because the mean of its divisors is an integer number (13651400).

Almost surely, 2^459797460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459797460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655267200).

459797460 is an abundant number, since it is smaller than the sum of its proper divisors (850736940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459797460 is a wasteful number, since it uses less digits than its factorization.

459797460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 459797460 is about 21442.8883315658. Note that the first 3 decimals coincide. The cubic root of 459797460 is about 771.8309494987.

The spelling of 459797460 in words is "four hundred fifty-nine million, seven hundred ninety-seven thousand, four hundred sixty".