459709164 has 72 divisors (see below), whose sum is σ = 1198819440. Its totient is φ = 148424832.

The previous prime is 459709157. The next prime is 459709181. The reversal of 459709164 is 461907954.

It is a super-2 number, since 2×459709164² = 422665030931157792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357667 + ... + 358949.

It is an arithmetic number, because the mean of its divisors is an integer number (16650270).

Almost surely, 2^459709164 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 459709164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599409720).

459709164 is an abundant number, since it is smaller than the sum of its proper divisors (739110276).

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

459709164 is a wasteful number, since it uses less digits than its factorization.

459709164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 459709164 is about 21440.8293682870. The cubic root of 459709164 is about 771.7815408247.

The spelling of 459709164 in words is "four hundred fifty-nine million, seven hundred nine thousand, one hundred sixty-four".