459220048 has 160 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 176117760.

The previous prime is 459220039. The next prime is 459220057. The reversal of 459220048 is 840022954.

It is an interprime number because it is at equal distance from previous prime (459220039) and next prime (459220057).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 459219995 and 459220022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5812873 + ... + 5812951.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2^459220048 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 459220048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

459220048 is an abundant number, since it is smaller than the sum of its proper divisors (672136112).

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

459220048 is a wasteful number, since it uses less digits than its factorization.

459220048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 459220048 is about 21429.4201508114. The cubic root of 459220048 is about 771.5077266481.

The spelling of 459220048 in words is "four hundred fifty-nine million, two hundred twenty thousand, forty-eight".