459852680 has 64 divisors (see below), whose sum is σ = 1197504000. Its totient is φ = 155660544.

The previous prime is 459852671. The next prime is 459852683. The reversal of 459852680 is 86258954.

It is a super-2 number, since 2×459852680² = 422928974606364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459852683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11726 + ... + 32514.

It is an arithmetic number, because the mean of its divisors is an integer number (18711000).

Almost surely, 2^459852680 is an apocalyptic number.

459852680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459852680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

459852680 is an abundant number, since it is smaller than the sum of its proper divisors (737651320).

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

459852680 is a wasteful number, since it uses less digits than its factorization.

459852680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20886 (or 20882 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 459852680 is about 21444.1758992972. The cubic root of 459852680 is about 771.8618462903.

The spelling of 459852680 in words is "four hundred fifty-nine million, eight hundred fifty-two thousand, six hundred eighty".