459612864 has 84 divisors (see below), whose sum is σ = 1374715056. Its totient is φ = 146539008.

The previous prime is 459612863. The next prime is 459612929. The reversal of 459612864 is 468216954.

It is a super-2 number, since 2×459612864² = 422487969508564992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459612863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4099 + ... + 30594.

Almost surely, 2^459612864 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 459612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687357528).

459612864 is an abundant number, since it is smaller than the sum of its proper divisors (915102192).

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

459612864 is a wasteful number, since it uses less digits than its factorization.

459612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34734 (or 34721 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 459612864 is about 21438.5835352992. The cubic root of 459612864 is about 771.7276460593.

The spelling of 459612864 in words is "four hundred fifty-nine million, six hundred twelve thousand, eight hundred sixty-four".