459828765 has 64 divisors (see below), whose sum is σ = 930631680. Its totient is φ = 213238080.

The previous prime is 459828763. The next prime is 459828779. The reversal of 459828765 is 567828954.

It is not a de Polignac number, because 459828765 - 2¹ = 459828763 is a prime.

It is a super-2 number, since 2×459828765² = 422884986242850450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459828763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27424 + ... + 40886.

It is an arithmetic number, because the mean of its divisors is an integer number (14541120).

Almost surely, 2^459828765 is an apocalyptic number.

459828765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

459828765 is an abundant number, since it is smaller than the sum of its proper divisors (470802915).

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

459828765 is a wasteful number, since it uses less digits than its factorization.

459828765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511 (or 13505 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 459828765 is about 21443.6182814375. The cubic root of 459828765 is about 771.8484656310.

The spelling of 459828765 in words is "four hundred fifty-nine million, eight hundred twenty-eight thousand, seven hundred sixty-five".