459791260 has 72 divisors (see below), whose sum is σ = 1043458416. Its totient is φ = 170069760.

The previous prime is 459791251. The next prime is 459791263. The reversal of 459791260 is 62197954.

It is a happy number.

It is a super-2 number, since 2×459791260² = 422816005544775200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459791263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 309720 + ... + 311200.

It is an arithmetic number, because the mean of its divisors is an integer number (14492478).

Almost surely, 2^459791260 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 459791260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521729208).

459791260 is an abundant number, since it is smaller than the sum of its proper divisors (583667156).

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

459791260 is a wasteful number, since it uses less digits than its factorization.

459791260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 459791260 is about 21442.7437610022. The cubic root of 459791260 is about 771.8274803093.

The spelling of 459791260 in words is "four hundred fifty-nine million, seven hundred ninety-one thousand, two hundred sixty".