459823056 has 160 divisors (see below), whose sum is σ = 1511808000. Its totient is φ = 119387520.

The previous prime is 459823033. The next prime is 459823057. The reversal of 459823056 is 650328954.

It is a super-2 number, since 2×459823056² = 422874485658358272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 459822999 and 459823017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459823057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179835 + ... + 182373.

It is an arithmetic number, because the mean of its divisors is an integer number (9448800).

Almost surely, 2^459823056 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 459823056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904000).

459823056 is an abundant number, since it is smaller than the sum of its proper divisors (1051984944).

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

459823056 is a wasteful number, since it uses less digits than its factorization.

459823056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 459823056 is about 21443.4851644969. The cubic root of 459823056 is about 771.8452713252.

The spelling of 459823056 in words is "four hundred fifty-nine million, eight hundred twenty-three thousand, fifty-six".