459729768 has 32 divisors (see below), whose sum is σ = 1156944960. Its totient is φ = 152227200.

The previous prime is 459729763. The next prime is 459729797. The reversal of 459729768 is 867927954.

It is a super-2 number, since 2×459729768² = 422702919170667648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459729763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59805 + ... + 67052.

It is an arithmetic number, because the mean of its divisors is an integer number (36154530).

Almost surely, 2^459729768 is an apocalyptic number.

It is an amenable number.

459729768 is an abundant number, since it is smaller than the sum of its proper divisors (697215192).

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

459729768 is a wasteful number, since it uses less digits than its factorization.

459729768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127017 (or 127013 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The square root of 459729768 is about 21441.3098480480. The cubic root of 459729768 is about 771.7930709765.

The spelling of 459729768 in words is "four hundred fifty-nine million, seven hundred twenty-nine thousand, seven hundred sixty-eight".