459838080 has 512 divisors, whose sum is σ = 1850688000. Its totient is φ = 107053056.

The previous prime is 459838079. The next prime is 459838081. The reversal of 459838080 is 80838954.

It is an interprime number because it is at equal distance from previous prime (459838079) and next prime (459838081).

It is a super-2 number, since 2×459838080² = 422902119636172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (459838081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5166676 + ... + 5166764.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^459838080 is an apocalyptic number.

459838080 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 459838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

459838080 is an abundant number, since it is smaller than the sum of its proper divisors (1390849920).

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

459838080 is a wasteful number, since it uses less digits than its factorization.

459838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 459838080 is about 21443.8354778244. The cubic root of 459838080 is about 771.8536775131.

The spelling of 459838080 in words is "four hundred fifty-nine million, eight hundred thirty-eight thousand, eighty".