459508464 has 100 divisors (see below), whose sum is σ = 1400023240. Its totient is φ = 145100160.

The previous prime is 459508459. The next prime is 459508481. The reversal of 459508464 is 464805954.

It is a super-2 number, since 2×459508464² = 422296056975278592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15294 + ... + 33954.

Almost surely, 2^459508464 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 459508464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700011620).

459508464 is an abundant number, since it is smaller than the sum of its proper divisors (940514776).

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

459508464 is a wasteful number, since it uses less digits than its factorization.

459508464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18700 (or 18685 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 459508464 is about 21436.1485346599. The cubic root of 459508464 is about 771.6692095840.

The spelling of 459508464 in words is "four hundred fifty-nine million, five hundred eight thousand, four hundred sixty-four".