459709512 has 96 divisors (see below), whose sum is σ = 1240233120. Its totient is φ = 141504000.

The previous prime is 459709499. The next prime is 459709519. The reversal of 459709512 is 215907954.

It is a super-2 number, since 2×459709512² = 422665670846556288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459709519) 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, 1831387 + ... + 1831637.

It is an arithmetic number, because the mean of its divisors is an integer number (12919095).

Almost surely, 2^459709512 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 459709512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620116560).

459709512 is an abundant number, since it is smaller than the sum of its proper divisors (780523608).

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

459709512 is a wasteful number, since it uses less digits than its factorization.

459709512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 459709512 is about 21440.8374836432. The cubic root of 459709512 is about 771.7817355710.

The spelling of 459709512 in words is "four hundred fifty-nine million, seven hundred nine thousand, five hundred twelve".