459420608 has 56 divisors (see below), whose sum is σ = 974140800. Its totient is φ = 214334208.

The previous prime is 459420593. The next prime is 459420617. The reversal of 459420608 is 806024954.

It is a super-2 number, since 2×459420608² = 422134590110179328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78653 + ... + 84291.

Almost surely, 2^459420608 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 459420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487070400).

459420608 is an abundant number, since it is smaller than the sum of its proper divisors (514720192).

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

459420608 is a wasteful number, since it uses less digits than its factorization.

459420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 459420608 is about 21434.0991879762. The cubic root of 459420608 is about 771.6200265282.

The spelling of 459420608 in words is "four hundred fifty-nine million, four hundred twenty thousand, six hundred eight".